8957 has 6 divisors (see below), whose sum is σ = 9882. Its totient is φ = 8112.

The previous prime is 8951. The next prime is 8963. The reversal of 8957 is 7598.

It is a happy number.

8957 is nontrivially palindromic in base 12.

8957 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8951) and next prime (8963).

It can be written as a sum of positive squares in 3 ways, for example, as 121 + 8836 = 11^2 + 94^2 .

It is not a de Polignac number, because 8957 - 2⁴ = 8941 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143 + ... + 195.

It is an arithmetic number, because the mean of its divisors is an integer number (1647).

2⁸⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

8957 is a deficient number, since it is larger than the sum of its proper divisors (925).

8957 is a wasteful number, since it uses less digits than its factorization.

8957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its digits is 2520, while the sum is 29.

The square root of 8957 is about 94.6414285606. The cubic root of 8957 is about 20.7676580709.

The spelling of 8957 in words is "eight thousand, nine hundred fifty-seven".