816957 has 12 divisors (see below), whose sum is σ = 1208064. Its totient is φ = 531720.

The previous prime is 816947. The next prime is 816961. The reversal of 816957 is 759618.

It is not a de Polignac number, because 816957 - 2⁴ = 816941 is a prime.

Its product of digits (15120) is a multiple of the sum of its prime factors (2160).

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 816957.

It is not an unprimeable number, because it can be changed into a prime (816917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669 + ... + 1442.

It is an arithmetic number, because the mean of its divisors is an integer number (100672).

2⁸¹⁶⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

816957 is a deficient number, since it is larger than the sum of its proper divisors (391107).

816957 is a wasteful number, since it uses less digits than its factorization.

816957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2157 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 816957 is about 903.8567364356. The cubic root of 816957 is about 93.4830914929.

The spelling of 816957 in words is "eight hundred sixteen thousand, nine hundred fifty-seven".