14537984 has 36 divisors (see below), whose sum is σ = 29341620. Its totient is φ = 7188480.

The previous prime is 14537981. The next prime is 14537989. The reversal of 14537984 is 48973541.

It can be written as a sum of positive squares in 2 ways, for example, as 7139584 + 7398400 = 2672^2 + 2720^2 .

It is a super-2 number, since 2×14537984² = 422705957568512, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14537981) 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 3 ways as a sum of consecutive naturals, for example, 27644 + ... + 28164.

It is an arithmetic number, because the mean of its divisors is an integer number (815045).

Almost surely, 2^14537984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14537984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14670810).

14537984 is an abundant number, since it is smaller than the sum of its proper divisors (14803636).

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

14537984 is an equidigital number, since it uses as much as digits as its factorization.

14537984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 14537984 is about 3812.8708344238. The cubic root of 14537984 is about 244.0626910490.

The spelling of 14537984 in words is "fourteen million, five hundred thirty-seven thousand, nine hundred eighty-four".