258632 has 16 divisors (see below), whose sum is σ = 529200. Its totient is φ = 117520.

The previous prime is 258631. The next prime is 258637. The reversal of 258632 is 236852.

258632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×258632² = 133781022848, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2³ + 5⁷ + 6⁴ + 8 + 3¹¹ + 2¹¹ .

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258632.

It is not an unprimeable number, because it can be changed into a prime (258631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1382 + ... + 1557.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2²⁵⁸⁶³² is an apocalyptic number.

258632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

258632 is an abundant number, since it is smaller than the sum of its proper divisors (270568).

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

258632 is a wasteful number, since it uses less digits than its factorization.

258632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2952 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 258632 is about 508.5587478355. The cubic root of 258632 is about 63.7129067822.

The spelling of 258632 in words is "two hundred fifty-eight thousand, six hundred thirty-two".