11682 has 24 divisors (see below), whose sum is σ = 28080. Its totient is φ = 3480.

The previous prime is 11681. The next prime is 11689. The reversal of 11682 is 28611.

11682 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 (18).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (11681) 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 11 ways as a sum of consecutive naturals, for example, 169 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (1170).

2¹¹⁶⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040).

11682 is an abundant number, since it is smaller than the sum of its proper divisors (16398).

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

11682 is a wasteful number, since it uses less digits than its factorization.

11682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 75 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 11682 is about 108.0833012079. The cubic root of 11682 is about 22.6902388379.

Subtracting from 11682 its sum of digits (18), we obtain a square (11664 = 108²).

Multiplying 11682 by its sum of digits (18), we get a triangular number (210276 = T₆₄₈).

The spelling of 11682 in words is "eleven thousand, six hundred eighty-two".