27285 has 16 divisors (see below), whose sum is σ = 46656. Its totient is φ = 13568.

The previous prime is 27283. The next prime is 27299. The reversal of 27285 is 58272.

27285 = 51² + 52² + ... + 59².

It is a cyclic number.

It is not a de Polignac number, because 27285 - 2¹ = 27283 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (2916).

2²⁷²⁸⁵ is an apocalyptic number.

It is an amenable number.

27285 is a deficient number, since it is larger than the sum of its proper divisors (19371).

27285 is a wasteful number, since it uses less digits than its factorization.

27285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132.

The product of its digits is 1120, while the sum is 24.

The square root of 27285 is about 165.1817181167. The cubic root of 27285 is about 30.1051863191.

Subtracting from 27285 its sum of digits (24), we obtain a triangular number (27261 = T₂₃₃).

The spelling of 27285 in words is "twenty-seven thousand, two hundred eighty-five".