32057 has 2 divisors, whose sum is σ = 32058. Its totient is φ = 32056.

The previous prime is 32051. The next prime is 32059. The reversal of 32057 is 75023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32041 + 16 = 179^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 32057 - 2¹⁰ = 31033 is a prime.

Together with 32059, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32057.

It is not a weakly prime, because it can be changed into another prime (32051) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16028 + 16029.

It is an arithmetic number, because the mean of its divisors is an integer number (16029).

2³²⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

32057 is a deficient number, since it is larger than the sum of its proper divisors (1).

32057 is an equidigital number, since it uses as much as digits as its factorization.

32057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 32057 is about 179.0446871594. The cubic root of 32057 is about 31.7668602455.

The spelling of 32057 in words is "thirty-two thousand, fifty-seven".