Wednesday, October 13, 2010

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.

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