258813 has 12 divisors (see below), whose sum is σ = 378300. Its totient is φ = 170496.

The previous prime is 258809. The next prime is 258827. The reversal of 258813 is 318852.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45369 + 213444 = 213^2 + 462^2 .

It is not a de Polignac number, because 258813 - 2² = 258809 is a prime.

It is an Ulam number.

258813 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258803) 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, 1245 + ... + 1437.

It is an arithmetic number, because the mean of its divisors is an integer number (31525).

2²⁵⁸⁸¹³ is an apocalyptic number.

It is an amenable number.

258813 is a deficient number, since it is larger than the sum of its proper divisors (119487).

258813 is a wasteful number, since it uses less digits than its factorization.

258813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 345 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 258813 is about 508.7366705871. The cubic root of 258813 is about 63.7277661796.

Adding to 258813 its sum of digits (27), we get a triangular number (258840 = T₇₁₉).

It can be divided in two parts, 2588 and 13, that added together give a square (2601 = 51²).

The spelling of 258813 in words is "two hundred fifty-eight thousand, eight hundred thirteen".