Numbers / 167

The Number 167

167 is prime: only 1 and 167 divide it evenly; the next prime after 167 is 173. 167's proper divisors total just 1, 166 short of 167, the deficient case most of 167's neighbors share too. 167 has a digit sum of 14; for 167, the digital root works out to 5. 167 shares no factor with 2-12; 167's own divisors start beyond that range. 167 is 10100111 in binary and A7 in hex; as a Roman numeral it's CLXVII.