13972624 has 20 divisors (see below), whose sum is σ = 27258300. Its totient is φ = 6938240.

The previous prime is 13972597. The next prime is 13972669. The reversal of 13972624 is 42627931.

13972624 = 333² + 334² + ... + 428².

It can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 10240000 = 1932^2 + 3200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13972624.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 547 + ... + 5314.

It is an arithmetic number, because the mean of its divisors is an integer number (1362915).

Almost surely, 2^13972624 is an apocalyptic number.

It is an amenable number.

13972624 is a deficient number, since it is larger than the sum of its proper divisors (13285676).

13972624 is a wasteful number, since it uses less digits than its factorization.

13972624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6018 (or 6012 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 13972624 is about 3737.9973247716. The cubic root of 13972624 is about 240.8570285417.

The spelling of 13972624 in words is "thirteen million, nine hundred seventy-two thousand, six hundred twenty-four".