13584972 has 24 divisors (see below), whose sum is σ = 33563376. Its totient is φ = 4261888.

The previous prime is 13584971. The next prime is 13585001. The reversal of 13584972 is 27948531.

13584972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13584972.

It is not an unprimeable number, because it can be changed into a prime (13584971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33093 + ... + 33500.

It is an arithmetic number, because the mean of its divisors is an integer number (1398474).

Almost surely, 2^13584972 is an apocalyptic number.

13584972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13584972 is an abundant number, since it is smaller than the sum of its proper divisors (19978404).

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

13584972 is a wasteful number, since it uses less digits than its factorization.

13584972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66617 (or 66615 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 13584972 is about 3685.7797004162. The cubic root of 13584972 is about 238.6086860533.

The spelling of 13584972 in words is "thirteen million, five hundred eighty-four thousand, nine hundred seventy-two".