12972609 has 24 divisors (see below), whose sum is σ = 20818080. Its totient is φ = 7980336.

The previous prime is 12972587. The next prime is 12972613. The reversal of 12972609 is 90627921.

It is not a de Polignac number, because 12972609 - 2⁵ = 12972577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12972629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3142 + ... + 5984.

It is an arithmetic number, because the mean of its divisors is an integer number (867420).

Almost surely, 2^12972609 is an apocalyptic number.

It is an amenable number.

12972609 is a deficient number, since it is larger than the sum of its proper divisors (7845471).

12972609 is a wasteful number, since it uses less digits than its factorization.

12972609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2859 counting only the distinct ones).

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

The square root of 12972609 is about 3601.7508242520. The cubic root of 12972609 is about 234.9682105784.

The spelling of 12972609 in words is "twelve million, nine hundred seventy-two thousand, six hundred nine".