167 (number)
Encyclopedia : 1 : 16 : 167 : 167 (number)
167 is the natural number following 166 and preceding 168.
| |||
| Ordinal | One hundred [and] sixty-seven | ||
| Cardinal | 167th | ||
| Factorization | Prime | ||
| Roman numeral | CLXVII | ||
| Binary | 10100111 | ||
| Hexadecimal | A7 | ||
It is a prime number, a safe prime and an Eisenstein prime with no imaginary part and a real part of the form [3n - 1]. Since the next odd number, 169, is a square of a prime, 167 is a Chen prime.
It is also the smallest number k with exactly 15 solutions to the equation x - φ(x) = k, making it a highly cototient number.
It 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 a strictly non-palindromic number.
Uses
- The year 167
- In the game Backgammon, a player needs a total of 167 points to get all his pieces off the board, starting from the initial position.
External links
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