258057 has 12 divisors (see below), whose sum is σ = 380484. Its totient is φ = 168480.

The previous prime is 258031. The next prime is 258061. The reversal of 258057 is 750852.

It is a happy number.

258057 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 145161 + 112896 = 381^2 + 336^2 .

It is not a de Polignac number, because 258057 - 2⁶ = 257993 is a prime.

It is a zygodrome in base 3 and base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 258057.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258057.

It is not an unprimeable number, because it can be changed into a prime (258067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (31707).

2²⁵⁸⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

258057 is a deficient number, since it is larger than the sum of its proper divisors (122427).

258057 is a wasteful number, since it uses less digits than its factorization.

258057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 597 counting only the distinct ones).

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

The square root of 258057 is about 507.9931101895. The cubic root of 258057 is about 63.6656554697.

The spelling of 258057 in words is "two hundred fifty-eight thousand, fifty-seven".