11817 has 12 divisors (see below), whose sum is σ = 18564. Its totient is φ = 7200.

The previous prime is 11813. The next prime is 11821. The reversal of 11817 is 71811.

11817 is digitally balanced in base 2 and base 3, because in such bases 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 (11813) and next prime (11821).

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 4761 = 84^2 + 69^2 .

It is not a de Polignac number, because 11817 - 2² = 11813 is a prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 11817.

It is not an unprimeable number, because it can be changed into a prime (11813) 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 11 ways as a sum of consecutive naturals, for example, 67 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1547).

2¹¹⁸¹⁷ is an apocalyptic number.

It is an amenable number.

11817 is a deficient number, since it is larger than the sum of its proper divisors (6747).

11817 is a wasteful number, since it uses less digits than its factorization.

11817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 117 counting only the distinct ones).

The product of its digits is 56, while the sum is 18.

The square root of 11817 is about 108.7060255920. The cubic root of 11817 is about 22.7773089114. Note that the first 3 decimals are identical.

It can be divided in two parts, 11 and 817, that added together give a palindrome (828).

The spelling of 11817 in words is "eleven thousand, eight hundred seventeen".