12716 has 18 divisors (see below), whose sum is σ = 25788. Its totient is φ = 5440.

The previous prime is 12713. The next prime is 12721. The reversal of 12716 is 61721.

It is a happy number.

12716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 12694 and 12703.

It is not an unprimeable number, because it can be changed into a prime (12713) 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 5 ways as a sum of consecutive naturals, for example, 740 + ... + 756.

2¹²⁷¹⁶ is an apocalyptic number.

It is an amenable number.

12716 is an abundant number, since it is smaller than the sum of its proper divisors (13072).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894).

12716 is a wasteful number, since it uses less digits than its factorization.

12716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 30 counting only the distinct ones).

The product of its digits is 84, while the sum is 17.

The square root of 12716 is about 112.7652428721. The cubic root of 12716 is about 23.3408592503.

It can be divided in two parts, 1271 and 6, that multiplied together give a triangular number (7626 = T₁₂₃).

The spelling of 12716 in words is "twelve thousand, seven hundred sixteen".