13285 has 4 divisors (see below), whose sum is σ = 15948. Its totient is φ = 10624.

The previous prime is 13267. The next prime is 13291. The reversal of 13285 is 58231.

13285 = 81² + 82².

It is a happy number.

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 6724 + 6561 = 82^2 + 81^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13285 is a prime.

It is a Duffinian number.

13285 is a lucky 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, 1324 + ... + 1333.

It is an arithmetic number, because the mean of its divisors is an integer number (3987).

2¹³²⁸⁵ is an apocalyptic number.

13285 is the 82-nd centered square number.

It is an amenable number.

13285 is a deficient number, since it is larger than the sum of its proper divisors (2663).

13285 is an equidigital number, since it uses as much as digits as its factorization.

13285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662.

The product of its digits is 240, while the sum is 19.

The square root of 13285 is about 115.2605743522. The cubic root of 13285 is about 23.6839345863.

The spelling of 13285 in words is "thirteen thousand, two hundred eighty-five".