85865 has 8 divisors (see below), whose sum is σ = 111048. Its totient is φ = 63360.

The previous prime is 85853. The next prime is 85889. The reversal of 85865 is 56858.

It can be written as a sum of positive squares in 4 ways, for example, as 11881 + 73984 = 109^2 + 272^2 .

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

It is not a de Polignac number, because 85865 - 2¹² = 81769 is a prime.

It is a Duffinian 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, 596 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (13881).

2⁸⁵⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

85865 is a deficient number, since it is larger than the sum of its proper divisors (25183).

85865 is a wasteful number, since it uses less digits than its factorization.

85865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339.

The product of its digits is 9600, while the sum is 32.

The square root of 85865 is about 293.0273024822. The cubic root of 85865 is about 44.1169409909.

The spelling of 85865 in words is "eighty-five thousand, eight hundred sixty-five".