13657 has 4 divisors (see below), whose sum is σ = 15616. Its totient is φ = 11700.

The previous prime is 13649. The next prime is 13669. The reversal of 13657 is 75631.

13657 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 75631 = 53 ⋅1427.

It is a cyclic number.

It is not a de Polignac number, because 13657 - 2³ = 13649 is a prime.

It is a Duffinian number.

13657 is a lucky number.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13657.

It is not an unprimeable number, because it can be changed into a prime (13627) 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, 969 + ... + 982.

It is an arithmetic number, because the mean of its divisors is an integer number (3904).

2¹³⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

13657 is a deficient number, since it is larger than the sum of its proper divisors (1959).

13657 is an equidigital number, since it uses as much as digits as its factorization.

13657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958.

The product of its digits is 630, while the sum is 22.

The square root of 13657 is about 116.8631678503. The cubic root of 13657 is about 23.9029646830.

The spelling of 13657 in words is "thirteen thousand, six hundred fifty-seven".