13817984 has 32 divisors (see below), whose sum is σ = 28210140. Its totient is φ = 6737920.

The previous prime is 13817933. The next prime is 13817987. The reversal of 13817984 is 48971831.

It can be written as a sum of positive squares in 2 ways, for example, as 11022400 + 2795584 = 3320^2 + 1672^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (41).

Its product of digits (48384) is a multiple of the sum of its prime factors (2688).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13817987) 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, 3932 + ... + 6564.

Almost surely, 2^13817984 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 13817984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14105070).

13817984 is an abundant number, since it is smaller than the sum of its proper divisors (14392156).

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

13817984 is an equidigital number, since it uses as much as digits as its factorization.

13817984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2676 counting only the distinct ones).

The product of its digits is 48384, while the sum is 41.

The square root of 13817984 is about 3717.2549011334. The cubic root of 13817984 is about 239.9651801337.

The spelling of 13817984 in words is "thirteen million, eight hundred seventeen thousand, nine hundred eighty-four".