11613 has 12 divisors (see below), whose sum is σ = 18240. Its totient is φ = 6552.

The previous prime is 11597. The next prime is 11617. The reversal of 11613 is 31611.

11613 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11613 - 2⁴ = 11597 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108 + ... + 186.

It is an arithmetic number, because the mean of its divisors is an integer number (1520).

2¹¹⁶¹³ is an apocalyptic number.

It is an amenable number.

11613 is a deficient number, since it is larger than the sum of its proper divisors (6627).

11613 is an equidigital number, since it uses as much as digits as its factorization.

11613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its digits is 18, while the sum is 12.

The square root of 11613 is about 107.7636302284. The cubic root of 11613 is about 22.6454771217.

The spelling of 11613 in words is "eleven thousand, six hundred thirteen".