12972906 has 32 divisors (see below), whose sum is σ = 29203200. Its totient is φ = 4268160.

The previous prime is 12972901. The next prime is 12972929. The reversal of 12972906 is 60927921.

It is not an unprimeable number, because it can be changed into a prime (12972901) 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, 2746 + ... + 5786.

It is an arithmetic number, because the mean of its divisors is an integer number (912600).

Almost surely, 2^12972906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12972906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14601600).

12972906 is an abundant number, since it is smaller than the sum of its proper divisors (16230294).

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

12972906 is a wasteful number, since it uses less digits than its factorization.

12972906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 12972906 is about 3601.7920539642. The cubic root of 12972906 is about 234.9700037162.

The spelling of 12972906 in words is "twelve million, nine hundred seventy-two thousand, nine hundred six".