257344 has 14 divisors (see below), whose sum is σ = 510794. Its totient is φ = 128640.

The previous prime is 257339. The next prime is 257351. The reversal of 257344 is 443752.

257344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 97344 = 400^2 + 312^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

257344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1947 + ... + 2074.

2²⁵⁷³⁴⁴ is an apocalyptic number.

It is an amenable number.

257344 is a deficient number, since it is larger than the sum of its proper divisors (253450).

257344 is an equidigital number, since it uses as much as digits as its factorization.

257344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4023 counting only the distinct ones).

The product of its digits is 3360, while the sum is 25.

The square root of 257344 is about 507.2908435996. The cubic root of 257344 is about 63.6069662609.

The spelling of 257344 in words is "two hundred fifty-seven thousand, three hundred forty-four".