257813 has 4 divisors (see below), whose sum is σ = 259008. Its totient is φ = 256620.

The previous prime is 257797. The next prime is 257837. The reversal of 257813 is 318752.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 257813 - 2⁴ = 257797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257863) 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, 173 + ... + 738.

It is an arithmetic number, because the mean of its divisors is an integer number (64752).

2²⁵⁷⁸¹³ is an apocalyptic number.

It is an amenable number.

257813 is a deficient number, since it is larger than the sum of its proper divisors (1195).

257813 is an equidigital number, since it uses as much as digits as its factorization.

257813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194.

The product of its digits is 1680, while the sum is 26.

The square root of 257813 is about 507.7528926555. The cubic root of 257813 is about 63.6455832653.

The spelling of 257813 in words is "two hundred fifty-seven thousand, eight hundred thirteen".