13972904 has 64 divisors (see below), whose sum is σ = 30801600. Its totient is φ = 5875200.

The previous prime is 13972901. The next prime is 13972943. The reversal of 13972904 is 40927931.

13972904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13972901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101924 + ... + 102060.

It is an arithmetic number, because the mean of its divisors is an integer number (481275).

Almost surely, 2^13972904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13972904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400800).

13972904 is an abundant number, since it is smaller than the sum of its proper divisors (16828696).

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

13972904 is a wasteful number, since it uses less digits than its factorization.

13972904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 13972904 is about 3738.0347777943. The cubic root of 13972904 is about 240.8586373905.

The spelling of 13972904 in words is "thirteen million, nine hundred seventy-two thousand, nine hundred four".