12664 has 8 divisors (see below), whose sum is σ = 23760. Its totient is φ = 6328.

The previous prime is 12659. The next prime is 12671. The reversal of 12664 is 46621.

12664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 784 + ... + 799.

It is an arithmetic number, because the mean of its divisors is an integer number (2970).

2¹²⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

12664 is a deficient number, since it is larger than the sum of its proper divisors (11096).

12664 is a wasteful number, since it uses less digits than its factorization.

12664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1585 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 12664 is about 112.5344391731. The cubic root of 12664 is about 23.3089995751.

It can be divided in two parts, 126 and 64, that added together give a triangular number (190 = T₁₉).

The spelling of 12664 in words is "twelve thousand, six hundred sixty-four".