11516 has 6 divisors (see below), whose sum is σ = 20160. Its totient is φ = 5756.

The previous prime is 11503. The next prime is 11519. The reversal of 11516 is 61511.

It is a self number, because there is not a number n which added to its sum of digits gives 11516.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11516.

It is not an unprimeable number, because it can be changed into a prime (11519) by changing a digit.

11516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1436 + ... + 1443.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2¹¹⁵¹⁶ is an apocalyptic number.

It is an amenable number.

11516 is a deficient number, since it is larger than the sum of its proper divisors (8644).

11516 is a wasteful number, since it uses less digits than its factorization.

11516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2881 counting only the distinct ones).

The product of its digits is 30, while the sum is 14.

The square root of 11516 is about 107.3126274024. The cubic root of 11516 is about 22.5822504016.

It can be divided in two parts, 115 and 16, that added together give a palindrome (131).

The spelling of 11516 in words is "eleven thousand, five hundred sixteen".