58257 has 6 divisors (see below), whose sum is σ = 84162. Its totient is φ = 38832.

The previous prime is 58243. The next prime is 58271. The reversal of 58257 is 75285.

It is a happy number.

58257 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58243) and next prime (58271).

It can be written as a sum of positive squares in only one way, i.e., 41616 + 16641 = 204^2 + 129^2 .

It is not a de Polignac number, because 58257 - 2⁶ = 58193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 58257.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58257.

It is not an unprimeable number, because it can be changed into a prime (58207) 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, 3228 + ... + 3245.

It is an arithmetic number, because the mean of its divisors is an integer number (14027).

2⁵⁸²⁵⁷ is an apocalyptic number.

It is an amenable number.

58257 is a deficient number, since it is larger than the sum of its proper divisors (25905).

58257 is a wasteful number, since it uses less digits than its factorization.

58257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6479 (or 6476 counting only the distinct ones).

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

The square root of 58257 is about 241.3648690261. The cubic root of 58257 is about 38.7658554608.

It can be divided in two parts, 5825 and 7, that added together give a cube (5832 = 18³).

The spelling of 58257 in words is "fifty-eight thousand, two hundred fifty-seven".