13737 has 8 divisors (see below), whose sum is σ = 19360. Its totient is φ = 8640.

The previous prime is 13729. The next prime is 13751. The reversal of 13737 is 73731.

13737 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13737 - 2³ = 13729 is a prime.

It is a Duffinian number.

13737 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13737.

It is not an unprimeable number, because it can be changed into a prime (13757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 177.

It is an arithmetic number, because the mean of its divisors is an integer number (2420).

2¹³⁷³⁷ is an apocalyptic number.

It is an amenable number.

13737 is a deficient number, since it is larger than the sum of its proper divisors (5623).

13737 is a wasteful number, since it uses less digits than its factorization.

13737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263.

The product of its digits is 441, while the sum is 21.

The square root of 13737 is about 117.2049487010. The cubic root of 13737 is about 23.9495467885.

The spelling of 13737 in words is "thirteen thousand, seven hundred thirty-seven".