808957 has 2 divisors, whose sum is σ = 808958. Its totient is φ = 808956.

The previous prime is 808937. The next prime is 808961. The reversal of 808957 is 759808.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 488601 + 320356 = 699^2 + 566^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-808957 is a prime.

It is a super-2 number, since 2×808957² = 1308822855698, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (808937) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 404478 + 404479.

It is an arithmetic number, because the mean of its divisors is an integer number (404479).

2⁸⁰⁸⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

808957 is a deficient number, since it is larger than the sum of its proper divisors (1).

808957 is an equidigital number, since it uses as much as digits as its factorization.

808957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 808957 is about 899.4203689043. The cubic root of 808957 is about 93.1769475795.

The spelling of 808957 in words is "eight hundred eight thousand, nine hundred fifty-seven".