11684 has 12 divisors (see below), whose sum is σ = 21504. Its totient is φ = 5544.

The previous prime is 11681. The next prime is 11689. The reversal of 11684 is 48611.

11684 = T₅₀ + T₅₁ + ... + T₅₇.

11684 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 15.

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 3 ways as a sum of consecutive naturals, for example, 29 + ... + 155.

It is an arithmetic number, because the mean of its divisors is an integer number (1792).

2¹¹⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

11684 is a deficient number, since it is larger than the sum of its proper divisors (9820).

11684 is a wasteful number, since it uses less digits than its factorization.

11684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 11684 is about 108.0925529350. The cubic root of 11684 is about 22.6915336472.

Subtracting from 11684 its sum of digits (20), we obtain a square (11664 = 108²).

The spelling of 11684 in words is "eleven thousand, six hundred eighty-four".