257368 has 16 divisors (see below), whose sum is σ = 492480. Its totient is φ = 126048.

The previous prime is 257353. The next prime is 257371. The reversal of 257368 is 863752.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 121 + ... + 727.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2²⁵⁷³⁶⁸ is an apocalyptic number.

It is an amenable number.

257368 is a deficient number, since it is larger than the sum of its proper divisors (235112).

257368 is a wasteful number, since it uses less digits than its factorization.

257368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 257368 is about 507.3144981173. The cubic root of 257368 is about 63.6089435361.

It can be divided in two parts, 257 and 368, that added together give a 4-th power (625 = 5⁴).

The spelling of 257368 in words is "two hundred fifty-seven thousand, three hundred sixty-eight".