12657 has 4 divisors (see below), whose sum is σ = 16880. Its totient is φ = 8436.

The previous prime is 12653. The next prime is 12659. The reversal of 12657 is 75621.

12657 is digitally balanced in base 2 and base 3, because in such bases 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.

It is not a de Polignac number, because 12657 - 2² = 12653 is a prime.

It is a D-number.

It is the 113-rd Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12653) by changing a digit.

It is a nontrivial repunit in base 112.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2107 + ... + 2112.

It is an arithmetic number, because the mean of its divisors is an integer number (4220).

2¹²⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

12657 is a deficient number, since it is larger than the sum of its proper divisors (4223).

12657 is an equidigital number, since it uses as much as digits as its factorization.

12657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222.

The product of its digits is 420, while the sum is 21.

The square root of 12657 is about 112.5033332840. The cubic root of 12657 is about 23.3047041163.

The spelling of 12657 in words is "twelve thousand, six hundred fifty-seven".