13737984 has 112 divisors (see below), whose sum is σ = 40367712. Its totient is φ = 4128768.

The previous prime is 13737979. The next prime is 13738001. The reversal of 13737984 is 48973731.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319467 + ... + 319509.

It is an arithmetic number, because the mean of its divisors is an integer number (360426).

Almost surely, 2^13737984 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 13737984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20183856).

13737984 is an abundant number, since it is smaller than the sum of its proper divisors (26629728).

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

13737984 is an equidigital number, since it uses as much as digits as its factorization.

13737984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 61 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 13737984 is about 3706.4786523060. The cubic root of 13737984 is about 239.5011862105.

The spelling of 13737984 in words is "thirteen million, seven hundred thirty-seven thousand, nine hundred eighty-four".