13659 has 8 divisors (see below), whose sum is σ = 18960. Its totient is φ = 8736.

The previous prime is 13649. The next prime is 13669. The reversal of 13659 is 95631.

It is an interprime number because it is at equal distance from previous prime (13649) and next prime (13669).

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

It is not a de Polignac number, because 13659 - 2⁵ = 13627 is a prime.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13659.

It is not an unprimeable number, because it can be changed into a prime (13619) 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, 9 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (2370).

13659 is a deficient number, since it is larger than the sum of its proper divisors (5301).

13659 is a wasteful number, since it uses less digits than its factorization.

13659 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189.

The product of its digits is 810, while the sum is 24.

The square root of 13659 is about 116.8717245530. The cubic root of 13659 is about 23.9041314497.

The spelling of 13659 in words is "thirteen thousand, six hundred fifty-nine".