12616 has 16 divisors (see below), whose sum is σ = 25200. Its totient is φ = 5904.

The previous prime is 12613. The next prime is 12619. The reversal of 12616 is 61621.

It is an interprime number because it is at equal distance from previous prime (12613) and next prime (12619).

It is a self number, because there is not a number n which added to its sum of digits gives 12616.

It is not an unprimeable number, because it can be changed into a prime (12611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111 + ... + 193.

It is an arithmetic number, because the mean of its divisors is an integer number (1575).

2¹²⁶¹⁶ is an apocalyptic number.

It is an amenable number.

12616 is a deficient number, since it is larger than the sum of its proper divisors (12584).

12616 is a wasteful number, since it uses less digits than its factorization.

12616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 12616 is about 112.3209686568. The cubic root of 12616 is about 23.2795131431.

Subtracting from 12616 its product of digits (72), we obtain a square (12544 = 112²).

It can be divided in two parts, 126 and 16, that multiplied together give a triangular number (2016 = T₆₃).

The spelling of 12616 in words is "twelve thousand, six hundred sixteen".