12972904 has 32 divisors (see below), whose sum is σ = 29436480. Its totient is φ = 5232384.

The previous prime is 12972901. The next prime is 12972929. The reversal of 12972904 is 40927921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 12972904.

It is not an unprimeable number, because it can be changed into a prime (12972901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5862 + ... + 7765.

It is an arithmetic number, because the mean of its divisors is an integer number (919890).

Almost surely, 2^12972904 is an apocalyptic number.

12972904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12972904 is an abundant number, since it is smaller than the sum of its proper divisors (16463576).

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

12972904 is a wasteful number, since it uses less digits than its factorization.

12972904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13657 (or 13653 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 12972904 is about 3601.7917763247. The cubic root of 12972904 is about 234.9699916413.

The spelling of 12972904 in words is "twelve million, nine hundred seventy-two thousand, nine hundred four".