5657 has 2 divisors, whose sum is σ = 5658. Its totient is φ = 5656.

The previous prime is 5653. The next prime is 5659. The reversal of 5657 is 7565.

5657 is nontrivially palindromic in base 8.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3721 + 1936 = 61^2 + 44^2 .

It is a cyclic number.

It is not a de Polignac number, because 5657 - 2² = 5653 is a prime.

Together with 5659, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 5³ + 5⁵ + 6 + 7⁴ .

It is a plaindrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2828 + 2829.

It is an arithmetic number, because the mean of its divisors is an integer number (2829).

2⁵⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

5657 is a deficient number, since it is larger than the sum of its proper divisors (1).

5657 is an equidigital number, since it uses as much as digits as its factorization.

5657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1050, while the sum is 23.

The square root of 5657 is about 75.2130307859. The cubic root of 5657 is about 17.8181273899.

The spelling of 5657 in words is "five thousand, six hundred fifty-seven".