13716 has 24 divisors (see below), whose sum is σ = 35840. Its totient is φ = 4536.

The previous prime is 13711. The next prime is 13721. The reversal of 13716 is 61731.

13716 is nontrivially palindromic in base 11.

13716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13711) and next prime (13721).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is a congruent number.

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

13716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 45 + ... + 171.

2¹³⁷¹⁶ 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 13716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17920).

13716 is an abundant number, since it is smaller than the sum of its proper divisors (22124).

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

13716 is a wasteful number, since it uses less digits than its factorization.

13716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 13716 is about 117.1153277757. The cubic root of 13716 is about 23.9373365295.

It can be divided in two parts, 137 and 16, that added together give a triangular number (153 = T₁₇).

The spelling of 13716 in words is "thirteen thousand, seven hundred sixteen".