2957 has 2 divisors, whose sum is σ = 2958. Its totient is φ = 2956.

The previous prime is 2953. The next prime is 2963. The reversal of 2957 is 7592.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2116 + 841 = 46^2 + 29^2 .

It is a cyclic number.

It is not a de Polignac number, because 2957 - 2² = 2953 is a prime.

It is a Chen prime.

It is a plaindrome in base 11, base 13 and base 14.

It is a nialpdrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1478 + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (1479).

2²⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

2957 is a deficient number, since it is larger than the sum of its proper divisors (1).

2957 is an equidigital number, since it uses as much as digits as its factorization.

2957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 630, while the sum is 23.

The square root of 2957 is about 54.3783044973. The cubic root of 2957 is about 14.3532563521.

It can be divided in two parts, 29 and 57, that multiplied together give a triangular number (1653 = T₅₇).

The spelling of 2957 in words is "two thousand, nine hundred fifty-seven".