13731 has 8 divisors (see below), whose sum is σ = 19200. Its totient is φ = 8712.

The previous prime is 13729. The next prime is 13751.

13731 is nontrivially palindromic in base 10.

13731 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 13731 - 2^{1} = 13729 is a prime.

It is a super-2 number, since 2×13731^{2} = 377080722, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a self number, because there is not a number *n* which added to its sum of digits gives 13731.

It is not an unprimeable number, because it can be changed into a prime (13711) 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, 31 + ... + 168.

It is an arithmetic number, because the mean of its divisors is an integer number (2400).

2^{13731} is an apocalyptic number.

13731 is a deficient number, since it is larger than the sum of its proper divisors (5469).

13731 is a wasteful number, since it uses less digits than its factorization.

13731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225.

The product of its digits is 63, while the sum is 15.

The square root of 13731 is about 117.1793497166. The cubic root of 13731 is about 23.9460594136.

The spelling of 13731 in words is "thirteen thousand, seven hundred thirty-one".

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