13582972 has 48 divisors (see below), whose sum is σ = 27461952. Its totient is φ = 5829120.

The previous prime is 13582963. The next prime is 13582973. The reversal of 13582972 is 27928531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13582973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48898 + ... + 49174.

It is an arithmetic number, because the mean of its divisors is an integer number (572124).

Almost surely, 2^13582972 is an apocalyptic number.

It is an amenable number.

13582972 is an abundant number, since it is smaller than the sum of its proper divisors (13878980).

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

13582972 is a wasteful number, since it uses less digits than its factorization.

13582972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 13582972 is about 3685.5083774155. The cubic root of 13582972 is about 238.5969760354.

The spelling of 13582972 in words is "thirteen million, five hundred eighty-two thousand, nine hundred seventy-two".