13982472 has 48 divisors (see below), whose sum is σ = 43280640. Its totient is φ = 3994848.

The previous prime is 13982471. The next prime is 13982491. The reversal of 13982472 is 27428931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13982471) 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 11 ways as a sum of consecutive naturals, for example, 13368 + ... + 14375.

It is an arithmetic number, because the mean of its divisors is an integer number (901680).

Almost surely, 2^13982472 is an apocalyptic number.

13982472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13982472 is an abundant number, since it is smaller than the sum of its proper divisors (29298168).

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

13982472 is a wasteful number, since it uses less digits than its factorization.

13982472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27762 (or 27755 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 13982472 is about 3739.3143756577. The cubic root of 13982472 is about 240.9136011411.

The spelling of 13982472 in words is "thirteen million, nine hundred eighty-two thousand, four hundred seventy-two".