6957 has 6 divisors (see below), whose sum is σ = 10062. Its totient is φ = 4632.

The previous prime is 6949. The next prime is 6959. The reversal of 6957 is 7596.

It can be written as a sum of positive squares in only one way, i.e., 4356 + 2601 = 66^2 + 51^2 .

It is not a de Polignac number, because 6957 - 2³ = 6949 is a prime.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 6957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6959) 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, 378 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (1677).

2⁶⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

6957 is a deficient number, since it is larger than the sum of its proper divisors (3105).

6957 is a wasteful number, since it uses less digits than its factorization.

6957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 776 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 6957 is about 83.4086326467. The cubic root of 6957 is about 19.0900618053.

The spelling of 6957 in words is "six thousand, nine hundred fifty-seven".