85565 has 8 divisors (see below), whose sum is σ = 104280. Its totient is φ = 67392.

The previous prime is 85549. The next prime is 85571. The reversal of 85565 is 56558.

It can be written as a sum of positive squares in 4 ways, for example, as 8281 + 77284 = 91^2 + 278^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 85565 - 2⁴ = 85549 is a prime.

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 7 ways as a sum of consecutive naturals, for example, 467 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (13035).

2⁸⁵⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

85565 is a deficient number, since it is larger than the sum of its proper divisors (18715).

85565 is a wasteful number, since it uses less digits than its factorization.

85565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271.

The product of its digits is 6000, while the sum is 29.

The square root of 85565 is about 292.5149568825. The cubic root of 85565 is about 44.0655016147.

The spelling of 85565 in words is "eighty-five thousand, five hundred sixty-five".