32957 has 2 divisors, whose sum is σ = 32958. Its totient is φ = 32956.

The previous prime is 32941. The next prime is 32969. The reversal of 32957 is 75923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32761 + 196 = 181^2 + 14^2 .

It is a cyclic number.

It is not a de Polignac number, because 32957 - 2⁴ = 32941 is a prime.

It is a Chen prime.

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 32957.

It is not a weakly prime, because it can be changed into another prime (32917) 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, 16478 + 16479.

It is an arithmetic number, because the mean of its divisors is an integer number (16479).

2³²⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

32957 is a deficient number, since it is larger than the sum of its proper divisors (1).

32957 is an equidigital number, since it uses as much as digits as its factorization.

32957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1890, while the sum is 26.

The square root of 32957 is about 181.5406290614. The cubic root of 32957 is about 32.0614055297.

It can be divided in two parts, 32 and 957, that added together give a palindrome (989).

The spelling of 32957 in words is "thirty-two thousand, nine hundred fifty-seven".