12973600 has 36 divisors (see below), whose sum is σ = 31673754. Its totient is φ = 5189120.

The previous prime is 12973577. The next prime is 12973603. The reversal of 12973600 is 637921.

It can be written as a sum of positive squares in 3 ways, for example, as 11262736 + 1710864 = 3356^2 + 1308^2 .

It is not an unprimeable number, because it can be changed into a prime (12973603) 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 5 ways as a sum of consecutive naturals, for example, 7309 + ... + 8908.

Almost surely, 2^12973600 is an apocalyptic number.

12973600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12973600 is an abundant number, since it is smaller than the sum of its proper divisors (18700154).

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

12973600 is a wasteful number, since it uses less digits than its factorization.

12973600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16237 (or 16224 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 12973600 is about 3601.8883936069. Note that the first 3 decimals coincide. The cubic root of 12973600 is about 234.9741936352.

The spelling of 12973600 in words is "twelve million, nine hundred seventy-three thousand, six hundred".