12971664 has 50 divisors (see below), whose sum is σ = 37547510. Its totient is φ = 4323456.

The previous prime is 12971657. The next prime is 12971677. The reversal of 12971664 is 46617921.

12971664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12960000 + 11664 = 3600^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3709 + ... + 6300.

Almost surely, 2^12971664 is an apocalyptic number.

It is an amenable number.

12971664 is an abundant number, since it is smaller than the sum of its proper divisors (24575846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12971664 is a wasteful number, since it uses less digits than its factorization.

12971664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10029 (or 10014 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 12971664 is about 3601.6196356639. The cubic root of 12971664 is about 234.9625049580.

The spelling of 12971664 in words is "twelve million, nine hundred seventy-one thousand, six hundred sixty-four".