257164 has 12 divisors (see below), whose sum is σ = 453600. Its totient is φ = 127568.

The previous prime is 257161. The next prime is 257171. The reversal of 257164 is 461752.

257164 = T₂₀₁ + T₂₀₂ + ... + T₂₁₂.

It is a super-2 number, since 2×257164² = 132266645792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257161) 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, 822 + ... + 1090.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2²⁵⁷¹⁶⁴ is an apocalyptic number.

It is an amenable number.

257164 is a deficient number, since it is larger than the sum of its proper divisors (196436).

257164 is a wasteful number, since it uses less digits than its factorization.

257164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 257164 is about 507.1133995469. The cubic root of 257164 is about 63.5921327769.

The spelling of 257164 in words is "two hundred fifty-seven thousand, one hundred sixty-four".