13731984 has 160 divisors (see below), whose sum is σ = 47616000. Its totient is φ = 3701376.

The previous prime is 13731983. The next prime is 13732001. The reversal of 13731984 is 48913731.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13731983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57337 + ... + 57575.

It is an arithmetic number, because the mean of its divisors is an integer number (297600).

Almost surely, 2^13731984 is an apocalyptic number.

13731984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13731984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808000).

13731984 is an abundant number, since it is smaller than the sum of its proper divisors (33884016).

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

13731984 is a wasteful number, since it uses less digits than its factorization.

13731984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 13731984 is about 3705.6691703389. The cubic root of 13731984 is about 239.4663141271.

The spelling of 13731984 in words is "thirteen million, seven hundred thirty-one thousand, nine hundred eighty-four".