13611 has 8 divisors (see below), whose sum is σ = 19600. Its totient is φ = 8352.

The previous prime is 13597. The next prime is 13613. The reversal of 13611 is 11631.

13611 is nontrivially palindromic in base 2.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13611 - 2⁹ = 13099 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13611.

It is not an unprimeable number, because it can be changed into a prime (13613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136 + ... + 213.

It is an arithmetic number, because the mean of its divisors is an integer number (2450).

2¹³⁶¹¹ is an apocalyptic number.

13611 is a deficient number, since it is larger than the sum of its proper divisors (5989).

13611 is a wasteful number, since it uses less digits than its factorization.

13611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365.

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

The square root of 13611 is about 116.6661904752. Note that the first 3 decimals coincide. The cubic root of 13611 is about 23.8760975529.

The spelling of 13611 in words is "thirteen thousand, six hundred eleven".