258732 has 18 divisors (see below), whose sum is σ = 654108. Its totient is φ = 86232.

The previous prime is 258721. The next prime is 258733. The reversal of 258732 is 237852.

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 258696 and 258705.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258732.

It is not an unprimeable number, because it can be changed into a prime (258733) by changing a digit.

258732 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3558 + ... + 3629.

2²⁵⁸⁷³² is an apocalyptic number.

It is an amenable number.

258732 is an abundant number, since it is smaller than the sum of its proper divisors (395376).

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

258732 is a wasteful number, since it uses less digits than its factorization.

258732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7197 (or 7192 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 258732 is about 508.6570553919. The cubic root of 258732 is about 63.7211172508.

It can be divided in two parts, 258 and 732, that added together give a triangular number (990 = T₄₄).

The spelling of 258732 in words is "two hundred fifty-eight thousand, seven hundred thirty-two".