258313 has 8 divisors (see below), whose sum is σ = 294336. Its totient is φ = 224400.

The previous prime is 258299. The next prime is 258317. The reversal of 258313 is 313852.

258313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 258313 - 2¹⁷ = 127241 is a prime.

It is a Duffinian number.

258313 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (258317) 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, 258 + ... + 763.

It is an arithmetic number, because the mean of its divisors is an integer number (36792).

2²⁵⁸³¹³ is an apocalyptic number.

258313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

258313 is a deficient number, since it is larger than the sum of its proper divisors (36023).

258313 is a wasteful number, since it uses less digits than its factorization.

258313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055.

The product of its digits is 720, while the sum is 22.

The square root of 258313 is about 508.2450196510. The cubic root of 258313 is about 63.6867012352.

It can be divided in two parts, 25 and 8313, that added together give a palindrome (8338).

The spelling of 258313 in words is "two hundred fifty-eight thousand, three hundred thirteen".