167 is the number equal to 100 + 60 + 7.

It is a prime number and a safe prime number.

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, it is not palindromic in any base from base 2 to base 165.

Uses

• The year 167

External links

prime curiosities: 167