258705 has 12 divisors (see below), whose sum is σ = 448500. Its totient is φ = 137952.

The previous prime is 258703. The next prime is 258707. The reversal of 258705 is 507852.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (258703) and next prime (258707).

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 221841 = 192^2 + 471^2 .

It is not a de Polignac number, because 258705 - 2¹ = 258703 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258705.

It is not an unprimeable number, because it can be changed into a prime (258703) 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, 2830 + ... + 2919.

It is an arithmetic number, because the mean of its divisors is an integer number (37375).

2²⁵⁸⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

258705 is a deficient number, since it is larger than the sum of its proper divisors (189795).

258705 is a wasteful number, since it uses less digits than its factorization.

258705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 5757 counting only the distinct ones).

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

The square root of 258705 is about 508.6305142242. The cubic root of 258705 is about 63.7189006328.

The spelling of 258705 in words is "two hundred fifty-eight thousand, seven hundred five".