12973961 has 24 divisors (see below), whose sum is σ = 17532864. Its totient is φ = 9322560.

The previous prime is 12973951. The next prime is 12973967. The reversal of 12973961 is 16937921.

It is a happy number.

It is not a de Polignac number, because 12973961 - 2⁶ = 12973897 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12973967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12515 + ... + 13511.

It is an arithmetic number, because the mean of its divisors is an integer number (730536).

Almost surely, 2^12973961 is an apocalyptic number.

12973961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12973961 is a deficient number, since it is larger than the sum of its proper divisors (4558903).

12973961 is a wasteful number, since it uses less digits than its factorization.

12973961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1028 counting only the distinct ones).

The product of its digits is 20412, while the sum is 38.

The square root of 12973961 is about 3601.9385058604. The cubic root of 12973961 is about 234.9763730585.

The spelling of 12973961 in words is "twelve million, nine hundred seventy-three thousand, nine hundred sixty-one".