27565 has 8 divisors (see below), whose sum is σ = 34200. Its totient is φ = 21312.

The previous prime is 27551. The next prime is 27581. The reversal of 27565 is 56572.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2916 + 24649 = 54^2 + 157^2 .

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

It is not a de Polignac number, because 27565 - 2⁷ = 27437 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111 + ... + 259.

It is an arithmetic number, because the mean of its divisors is an integer number (4275).

2²⁷⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

27565 is a deficient number, since it is larger than the sum of its proper divisors (6635).

27565 is a wasteful number, since it uses less digits than its factorization.

27565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191.

The product of its digits is 2100, while the sum is 25.

The square root of 27565 is about 166.0271062206. The cubic root of 27565 is about 30.2078163473.

The spelling of 27565 in words is "twenty-seven thousand, five hundred sixty-five".