11656 has 16 divisors (see below), whose sum is σ = 23040. Its totient is φ = 5520.

The previous prime is 11633. The next prime is 11657. The reversal of 11656 is 65611.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11657) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

2¹¹⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

11656 is a deficient number, since it is larger than the sum of its proper divisors (11384).

11656 is a wasteful number, since it uses less digits than its factorization.

11656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its digits is 180, while the sum is 19.

The square root of 11656 is about 107.9629566101. The cubic root of 11656 is about 22.6733928520.

Subtracting from 11656 its product of digits (180), we obtain a triangular number (11476 = T₁₅₁).

The spelling of 11656 in words is "eleven thousand, six hundred fifty-six".