11766 has 16 divisors (see below), whose sum is σ = 24624. Its totient is φ = 3744.

The previous prime is 11743. The next prime is 11777. The reversal of 11766 is 66711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196 + ... + 248.

It is an arithmetic number, because the mean of its divisors is an integer number (1539).

2¹¹⁷⁶⁶ is an apocalyptic number.

11766 is an abundant number, since it is smaller than the sum of its proper divisors (12858).

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 (12312).

11766 is a wasteful number, since it uses less digits than its factorization.

11766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95.

The product of its digits is 252, while the sum is 21.

The square root of 11766 is about 108.4711943329. The cubic root of 11766 is about 22.7444940989.

Subtracting 11766 from its reverse (66711), we obtain a palindrome (54945).

It can be divided in two parts, 1176 and 6, that multiplied together give a square (7056 = 84²).

The spelling of 11766 in words is "eleven thousand, seven hundred sixty-six".