13713 has 8 divisors (see below), whose sum is σ = 20928. Its totient is φ = 7824.

The previous prime is 13711. The next prime is 13721. The reversal of 13713 is 31731.

13713 is digitally balanced in base 2, 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 13713 - 2¹ = 13711 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13692 and 13701.

It is not an unprimeable number, because it can be changed into a prime (13711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306 + ... + 347.

It is an arithmetic number, because the mean of its divisors is an integer number (2616).

2¹³⁷¹³ is an apocalyptic number.

It is an amenable number.

13713 is a deficient number, since it is larger than the sum of its proper divisors (7215).

13713 is an equidigital number, since it uses as much as digits as its factorization.

13713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663.

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

The square root of 13713 is about 117.1025191872. The cubic root of 13713 is about 23.9355911896.

The spelling of 13713 in words is "thirteen thousand, seven hundred thirteen".