258132 has 36 divisors (see below), whose sum is σ = 702240. Its totient is φ = 73584.

The previous prime is 258131. The next prime is 258143. The reversal of 258132 is 231852.

258132 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 258099 and 258108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258131) 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, 369 + ... + 807.

2²⁵⁸¹³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351120).

258132 is an abundant number, since it is smaller than the sum of its proper divisors (444108).

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

258132 is a wasteful number, since it uses less digits than its factorization.

258132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 451 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 258132 is about 508.0669247255. The cubic root of 258132 is about 63.6718226623.

Adding to 258132 its reverse (231852), we get a palindrome (489984).

The spelling of 258132 in words is "two hundred fifty-eight thousand, one hundred thirty-two".