57164 has 12 divisors (see below), whose sum is σ = 103488. Its totient is φ = 27600.

The previous prime is 57163. The next prime is 57173. The reversal of 57164 is 46175.

57164 = 27² + 28² + ... + 57².

It is not an unprimeable number, because it can be changed into a prime (57163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107 + ... + 354.

It is an arithmetic number, because the mean of its divisors is an integer number (8624).

2⁵⁷¹⁶⁴ is an apocalyptic number.

It is an amenable number.

57164 is a deficient number, since it is larger than the sum of its proper divisors (46324).

57164 is a wasteful number, since it uses less digits than its factorization.

57164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 494 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 57164 is about 239.0899412355. The cubic root of 57164 is about 38.5218855721.

The spelling of 57164 in words is "fifty-seven thousand, one hundred sixty-four".