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.
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Source: Prime Curios!