257864 has 8 divisors (see below), whose sum is σ = 483510. Its totient is φ = 128928.

The previous prime is 257863. The next prime is 257867. The reversal of 257864 is 468752.

It can be written as a sum of positive squares in only one way, i.e., 195364 + 62500 = 442^2 + 250^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 257864.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257864.

It is not an unprimeable number, because it can be changed into a prime (257861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16109 + ... + 16124.

2²⁵⁷⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

257864 is a deficient number, since it is larger than the sum of its proper divisors (225646).

257864 is a wasteful number, since it uses less digits than its factorization.

257864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32239 (or 32235 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 257864 is about 507.8031114517. The cubic root of 257864 is about 63.6497797317.

The spelling of 257864 in words is "two hundred fifty-seven thousand, eight hundred sixty-four".