11916 has 18 divisors (see below), whose sum is σ = 30212. Its totient is φ = 3960.

The previous prime is 11909. The next prime is 11923. The reversal of 11916 is 61911.

11916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11909) and next prime (11923).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 130 + ... + 201.

2¹¹⁹¹⁶ is an apocalyptic number.

It is an amenable number.

11916 is an abundant number, since it is smaller than the sum of its proper divisors (18296).

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

11916 is a wasteful number, since it uses less digits than its factorization.

11916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 336 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

The square root of 11916 is about 109.1604323920. The cubic root of 11916 is about 22.8407397194.

The spelling of 11916 in words is "eleven thousand, nine hundred sixteen".