258957 has 20 divisors (see below), whose sum is σ = 406560. Its totient is φ = 163944.

The previous prime is 258949. The next prime is 258959. The reversal of 258957 is 759852.

It is not a de Polignac number, because 258957 - 2³ = 258949 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258957.

It is not an unprimeable number, because it can be changed into a prime (258959) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1794 + ... + 1932.

It is an arithmetic number, because the mean of its divisors is an integer number (20328).

2²⁵⁸⁹⁵⁷ is an apocalyptic number.

258957 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

258957 is a deficient number, since it is larger than the sum of its proper divisors (147603).

258957 is a wasteful number, since it uses less digits than its factorization.

258957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 165 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 258957 is about 508.8781779562. The cubic root of 258957 is about 63.7395830730.

The spelling of 258957 in words is "two hundred fifty-eight thousand, nine hundred fifty-seven".