258913 has 4 divisors (see below), whose sum is σ = 272560. Its totient is φ = 245268.

The previous prime is 258887. The next prime is 258917. The reversal of 258913 is 319852.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 258913 - 2¹³ = 250721 is a prime.

It is a Duffinian number.

258913 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (258917) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6795 + ... + 6832.

It is an arithmetic number, because the mean of its divisors is an integer number (68140).

2²⁵⁸⁹¹³ is an apocalyptic number.

It is an amenable number.

258913 is a deficient number, since it is larger than the sum of its proper divisors (13647).

258913 is a wasteful number, since it uses less digits than its factorization.

258913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13646.

The product of its digits is 2160, while the sum is 28.

The square root of 258913 is about 508.8349437686. The cubic root of 258913 is about 63.7359728205.

The spelling of 258913 in words is "two hundred fifty-eight thousand, nine hundred thirteen".