13656 has 16 divisors (see below), whose sum is σ = 34200. Its totient is φ = 4544.

The previous prime is 13649. The next prime is 13669. The reversal of 13656 is 65631.

13656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

13656 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 3 ways as a sum of consecutive naturals, for example, 261 + ... + 308.

2¹³⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

13656 is an abundant number, since it is smaller than the sum of its proper divisors (20544).

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 (17100).

13656 is a wasteful number, since it uses less digits than its factorization.

13656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 574 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 13656 is about 116.8588892639. The cubic root of 13656 is about 23.9023812570.

Adding to 13656 its product of digits (540), we get a triangular number (14196 = T₁₆₈).

The spelling of 13656 in words is "thirteen thousand, six hundred fifty-six".