1. In mathematics

2. In astronomy

3. In the military

4. In sports

5. In transportation

6. In other fields

7. See also

8. External links

9. References

167 (one hundred [and] sixty-seven) is the natural number following 166 and preceding 168.

In mathematics

167 is a Chen prime, a Gaussian prime, a safe prime,^[1] and an Eisenstein prime with no imaginary part and a real part of the form .

167 is the only prime which can not be expressed as a sum of seven or fewer cubes.

It is also the smallest number which requires six terms when expressed using the greedy algorithm as a sum of squares, 167 = 144 + 16 + 4 + 1 + 1 + 1,^[2]

although by Lagrange's four-square theorem its non-greedy expression as a sum of squares can be shorter, e.g. 167 = 121 + 36 + 1 + 1.

167 is a full reptend prime in base 10, since the decimal expansion of 1/167 repeats the following 166 digits: 0.00598802395209580838323353293413173652694610778443113772455089820359281437125748502994 0119760479041916167664670658682634730538922155688622754491017964071856287425149700...

167 is a highly cototient number, as it is the smallest number k with exactly 15 solutions to the equation x - φ(x) = k. It is also a strictly non-palindromic number.

167 is the smallest multi-digit prime such that the product of digits is equal to the number of digits times the sum of the digits, i. e., 1×6×7 = 3×(1+6+7)

167 is the smallest positive integer d such that the imaginary quadratic field Q({{sqrt|–d}}) has class number = 11.^[3]

In astronomy

• 167 Urda is a main belt asteroid
• 167P/CINEOS is a periodic comet in our solar system
• IC 167 is interacting galaxies

In the military

• Marine Light Attack Helicopter Squadron 167 is a United States Marine Corps helicopter squadron
• Martin Model 167 was a U.S.-designed light bomber during World War II
• {{USCGC|Acushnet|WMEC-167}} was a U.S. Navy Diver-class rescue and salvage ship during World War II
• {{USS|Acree|DE-167}} was a U.S. Navy {{sclass-|Cannon|destroyer escort|1}} during World War II
• {{USS|Caledonia|AK-167}} was a U.S. Navy {{sclass-|Alamosa|cargo ship|1}} during World War II
• {{USS|Cowell|DD-167}} was a U.S. Navy {{sclass-|Wickes|destroyer|1}} during World War I
• {{USS|Freestone|APA-167}} was a U.S. Navy {{sclass-|Haskell|attack transport|1}} during World War II
• {{USS|Leyden|IX-167}} was a transport ship during World War II
• {{USS|Narwhal|SS-167}} was a U.S. Navy {{sclass-|Narwhal|submarine|1}} during World War II

In sports

• Martina Navratilova has 167 tennis titles, an all-time record for men or women

In transportation

• London Buses route 167
• SMRT Bus Service 167 in Singapore
• 167th Street is an elevated local station in the Bronx on the IRT Jerome Avenue Line, {{NYCS trains|Jerome}}, of the New York City Subway.
• 167th Street is an underground local station in the Bronx on the IND Concourse Line, {{NYCS trains|Concourse local}}, of the New York City Subway.
• List of highways numbered 167

In other fields

167 is also:

• The year AD 167 or 167 BC
• The atomic number of an element temporarily called Unhexseptium
• The Universal Disk Format (or ECMA-167) format of a file system for optical media storage
• C167 family is a 16-bit microcontroller architecture from Infineon
• Pips are dots on the face of a die, denoting its value. The pip count at the start of a backgammon game is 167{{importance inline}}

See also

• M167 (disambiguation)
• List of highways numbered 167
• United States Supreme Court cases, Volume 167
• United Nations Security Council Resolution 167

External links

• Prime curiosities: 167

References

• John Nquku
• John N. Randle
• John N. Rottiers Farm
• John N. Scales
• John N. Smith
• John Nswazwi
• John N. Tschiderer
• John Nuese
• John Nugent (disambiguation)
• John Nugent Fitch
• John Nugent (footballer)
• John Numbi
• John Nunatak
• John Nunn (racewalker)
• John Nunn (rower)
• John Nurse
• John Nusum
• John nusum
• John Nutt
• John Nutter (martyr)
• John Nutter (priest)
• John Nutting
• John Nutt (printer)
• John Nuveen & Co.
• John Nuzzo