11216 has 10 divisors (see below), whose sum is σ = 21762. Its totient is φ = 5600.

The previous prime is 11213. The next prime is 11239. The reversal of 11216 is 61211.

11216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 400 = 104^2 + 20^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11197 and 11206.

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 11216.

It is not an unprimeable number, because it can be changed into a prime (11213) 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 as a sum of consecutive naturals, namely, 335 + ... + 366.

2¹¹²¹⁶ is an apocalyptic number.

11216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11216 is a deficient number, since it is larger than the sum of its proper divisors (10546).

11216 is an equidigital number, since it uses as much as digits as its factorization.

11216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

The product of its digits is 12, while the sum is 11.

The square root of 11216 is about 105.9056183590. The cubic root of 11216 is about 22.3844279526.

Adding to 11216 its reverse (61211), we get a palindrome (72427).

It can be divided in two parts, 112 and 16, that added together give a 7-th power (128 = 2⁷).

The spelling of 11216 in words is "eleven thousand, two hundred sixteen".