10657 has 2 divisors, whose sum is σ = 10658. Its totient is φ = 10656.

The previous prime is 10651. The next prime is 10663. The reversal of 10657 is 75601.

10657 = 8⁴ + 9⁴.

10657 is nontrivially palindromic in base 9.

It is a balanced prime because it is at equal distance from previous prime (10651) and next prime (10663).

It can be written as a sum of positive squares in only one way, i.e., 6561 + 4096 = 81^2 + 64^2 .

It is a cyclic number.

It is not a de Polignac number, because 10657 - 2⁷ = 10529 is a prime.

It is a super-2 number, since 2×10657² = 227143298, which contains 22 as substring.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (10651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5328 + 5329.

It is an arithmetic number, because the mean of its divisors is an integer number (5329).

2¹⁰⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

10657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10657 is an equidigital number, since it uses as much as digits as its factorization.

10657 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 19.

The square root of 10657 is about 103.2327467425. The cubic root of 10657 is about 22.0061966016.

The spelling of 10657 in words is "ten thousand, six hundred fifty-seven".