23657 has 4 divisors (see below), whose sum is σ = 24276. Its totient is φ = 23040.

The previous prime is 23633. The next prime is 23663. The reversal of 23657 is 75632.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 13456 + 10201 = 116^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 23657 - 2⁶ = 23593 is a prime.

It is a d-powerful number, because it can be written as 2⁷ + 3⁸ + 6² + 5³ + 7⁵ .

It is a Duffinian number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23657.

It is not an unprimeable number, because it can be changed into a prime (23627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 248 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (6069).

2²³⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

23657 is a deficient number, since it is larger than the sum of its proper divisors (619).

23657 is an equidigital number, since it uses as much as digits as its factorization.

23657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618.

The product of its digits is 1260, while the sum is 23.

The square root of 23657 is about 153.8083222716. The cubic root of 23657 is about 28.7069171978.

The spelling of 23657 in words is "twenty-three thousand, six hundred fifty-seven".