167157 has 16 divisors (see below), whose sum is σ = 255360. Its totient is φ = 108000.

The previous prime is 167149. The next prime is 167159. The reversal of 167157 is 751761.

It is not a de Polignac number, because 167157 - 2³ = 167149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 167157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032 + ... + 1182.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2¹⁶⁷¹⁵⁷ is an apocalyptic number.

It is an amenable number.

167157 is a deficient number, since it is larger than the sum of its proper divisors (88203).

167157 is a wasteful number, since it uses less digits than its factorization.

167157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 167157 is about 408.8483826555. The cubic root of 167157 is about 55.0860361429.

It can be divided in two parts, 1671 and 57, that added together give a cube (1728 = 12³).

The spelling of 167157 in words is "one hundred sixty-seven thousand, one hundred fifty-seven".