13085 has 4 divisors (see below), whose sum is σ = 15708. Its totient is φ = 10464.

The previous prime is 13063. The next prime is 13093. The reversal of 13085 is 58031.

13085 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9604 + 3481 = 98^2 + 59^2 .

It is a cyclic number.

It is not a de Polignac number, because 13085 - 2⁸ = 12829 is a prime.

It is a Duffinian number.

13085 is strictly pandigital in base 6.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1304 + ... + 1313.

It is an arithmetic number, because the mean of its divisors is an integer number (3927).

2¹³⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

13085 is a deficient number, since it is larger than the sum of its proper divisors (2623).

13085 is an equidigital number, since it uses as much as digits as its factorization.

13085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 13085 is about 114.3896848496. The cubic root of 13085 is about 23.5644826270.

The spelling of 13085 in words is "thirteen thousand, eighty-five".