23057 has 2 divisors, whose sum is σ = 23058. Its totient is φ = 23056.

The previous prime is 23053. The next prime is 23059. The reversal of 23057 is 75032.

23057 is nontrivially palindromic in base 11.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22801 + 256 = 151^2 + 16^2 .

It is a cyclic number.

It is not a de Polignac number, because 23057 - 2² = 23053 is a prime.

Together with 23059, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 9.

It is not a weakly prime, because it can be changed into another prime (23053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11528 + 11529.

It is an arithmetic number, because the mean of its divisors is an integer number (11529).

2²³⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

23057 is a deficient number, since it is larger than the sum of its proper divisors (1).

23057 is an equidigital number, since it uses as much as digits as its factorization.

23057 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 23057 is about 151.8453160292. The cubic root of 23057 is about 28.4621432323.

Adding to 23057 its reverse (75032), we get a palindrome (98089).

The spelling of 23057 in words is "twenty-three thousand, fifty-seven".