11816 has 16 divisors (see below), whose sum is σ = 25440. Its totient is φ = 5040.

The previous prime is 11813. The next prime is 11821. The reversal of 11816 is 61811.

It is a happy number.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 11794 and 11803.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11816.

It is not an unprimeable number, because it can be changed into a prime (11813) 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, 50 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (1590).

2¹¹⁸¹⁶ is an apocalyptic number.

It is an amenable number.

11816 is an abundant number, since it is smaller than the sum of its proper divisors (13624).

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 (12720).

11816 is a wasteful number, since it uses less digits than its factorization.

11816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its digits is 48, while the sum is 17.

The square root of 11816 is about 108.7014259336. The cubic root of 11816 is about 22.7766663921.

The spelling of 11816 in words is "eleven thousand, eight hundred sixteen".