258832 has 20 divisors (see below), whose sum is σ = 573376. Its totient is φ = 110880.

The previous prime is 258827. The next prime is 258847. The reversal of 258832 is 238852.

258832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2² + 5⁶ + 8 + 8³ + 3¹¹ + 2¹⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 258832.

It is an unprimeable number.

258832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1044 + ... + 1267.

2²⁵⁸⁸³² is an apocalyptic number.

It is an amenable number.

258832 is an abundant number, since it is smaller than the sum of its proper divisors (314544).

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

258832 is a wasteful number, since it uses less digits than its factorization.

258832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2320 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 258832 is about 508.7553439523. The cubic root of 258832 is about 63.7293256040.

The spelling of 258832 in words is "two hundred fifty-eight thousand, eight hundred thirty-two".