856957 has 16 divisors (see below), whose sum is σ = 984960. Its totient is φ = 741312.

The previous prime is 856949. The next prime is 856969. The reversal of 856957 is 759658.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 856957 - 2³ = 856949 is a prime.

856957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16143 + ... + 16195.

It is an arithmetic number, because the mean of its divisors is an integer number (61560).

2⁸⁵⁶⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

856957 is a deficient number, since it is larger than the sum of its proper divisors (128003).

856957 is a wasteful number, since it uses less digits than its factorization.

856957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132.

The product of its digits is 75600, while the sum is 40.

The square root of 856957 is about 925.7197200017. The cubic root of 856957 is about 94.9845588939.

It can be divided in two parts, 8 and 56957, that added together give a palindrome (56965).

The spelling of 856957 in words is "eight hundred fifty-six thousand, nine hundred fifty-seven".