257058 has 12 divisors (see below), whose sum is σ = 556998. Its totient is φ = 85680.

The previous prime is 257053. The next prime is 257069. The reversal of 257058 is 850752.

It is a happy number.

257058 is nontrivially palindromic in base 5 and base 13.

257058 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., 257049 + 9 = 507^2 + 3^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7123 + ... + 7158.

2²⁵⁷⁰⁵⁸ is an apocalyptic number.

257058 is an abundant number, since it is smaller than the sum of its proper divisors (299940).

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

257058 is a wasteful number, since it uses less digits than its factorization.

257058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14289 (or 14286 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 257058 is about 507.0088756620. The cubic root of 257058 is about 63.5833942644.

It can be divided in two parts, 2570 and 58, that added together give a triangular number (2628 = T₇₂).

The spelling of 257058 in words is "two hundred fifty-seven thousand, fifty-eight".