12813972 has 12 divisors (see below), whose sum is σ = 29899296. Its totient is φ = 4271320.

The previous prime is 12813959. The next prime is 12813973. The reversal of 12813972 is 27931821.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12813973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 533904 + ... + 533927.

It is an arithmetic number, because the mean of its divisors is an integer number (2491608).

Almost surely, 2^12813972 is an apocalyptic number.

12813972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12813972 is an abundant number, since it is smaller than the sum of its proper divisors (17085324).

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

12813972 is a wasteful number, since it uses less digits than its factorization.

12813972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067838 (or 1067836 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 12813972 is about 3579.6608777928. The cubic root of 12813972 is about 234.0065013900.

It can be divided in two parts, 1281 and 3972, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 12813972 in words is "twelve million, eight hundred thirteen thousand, nine hundred seventy-two".