257032 has 24 divisors (see below), whose sum is σ = 514350. Its totient is φ = 120384.

The previous prime is 257017. The next prime is 257053. The reversal of 257032 is 230752.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 244036 + 12996 = 494^2 + 114^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

257032 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 in 5 ways as a sum of consecutive naturals, for example, 2844 + ... + 2932.

2²⁵⁷⁰³² is an apocalyptic number.

It is an amenable number.

257032 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257032 is a wasteful number, since it uses less digits than its factorization.

257032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 257032 is about 506.9832344368. The cubic root of 257032 is about 63.5812504888.

Adding to 257032 its reverse (230752), we get a palindrome (487784).

The spelling of 257032 in words is "two hundred fifty-seven thousand, thirty-two".