813957 has 8 divisors (see below), whose sum is σ = 1092000. Its totient is φ = 539280.

The previous prime is 813931. The next prime is 813961. The reversal of 813957 is 759318.

813957 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 813957 - 2⁶ = 813893 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 813957.

It is not an unprimeable number, because it can be changed into a prime (813907) 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, 207 + ... + 1292.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

2⁸¹³⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

813957 is a deficient number, since it is larger than the sum of its proper divisors (278043).

813957 is a wasteful number, since it uses less digits than its factorization.

813957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683.

The product of its digits is 7560, while the sum is 33.

The square root of 813957 is about 902.1956550549. The cubic root of 813957 is about 93.3685227286.

It can be divided in two parts, 813 and 957, that added together give a triangular number (1770 = T₅₉).

The spelling of 813957 in words is "eight hundred thirteen thousand, nine hundred fifty-seven".