167

167 is a prime number.

167 cannot be written as a sum of three squares.

167 is the smallest number whose fourth power begins with four identical digits: 167⁴ = 777796321.

167 = 2 * 3⁴ + 5.

167 is the smallest multidigit prime such that the product of the digits is equal to the number of digits times the sum of the digits: 1 x 6 x 7 = 3(1 + 6 + 7) = 42.

At the start of backgammon, each player has a pip count of 167.

Source: Prime Curios!