258972 has 24 divisors (see below), whose sum is σ = 690816. Its totient is φ = 73968.

The previous prime is 258971. The next prime is 258977. The reversal of 258972 is 279852.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1458 + ... + 1625.

It is an arithmetic number, because the mean of its divisors is an integer number (28784).

2²⁵⁸⁹⁷² is an apocalyptic number.

It is an amenable number.

258972 is an abundant number, since it is smaller than the sum of its proper divisors (431844).

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

258972 is a wasteful number, since it uses less digits than its factorization.

258972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3095 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 258972 is about 508.8929160442. The cubic root of 258972 is about 63.7408137475.

The spelling of 258972 in words is "two hundred fifty-eight thousand, nine hundred seventy-two".