85595 has 16 divisors (see below), whose sum is σ = 116640. Its totient is φ = 59904.

The previous prime is 85577. The next prime is 85597. The reversal of 85595 is 59558.

It is a cyclic number.

It is not a de Polignac number, because 85595 - 2⁶ = 85531 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85597) 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, 1589 + ... + 1641.

It is an arithmetic number, because the mean of its divisors is an integer number (7290).

2⁸⁵⁵⁹⁵ is an apocalyptic number.

85595 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85595 is a deficient number, since it is larger than the sum of its proper divisors (31045).

85595 is a wasteful number, since it uses less digits than its factorization.

85595 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94.

The product of its digits is 9000, while the sum is 32.

The square root of 85595 is about 292.5662318177. The cubic root of 85595 is about 44.0706509576.

It can be divided in two parts, 855 and 95, that multiplied together give a square (81225 = 285²).

The spelling of 85595 in words is "eighty-five thousand, five hundred ninety-five".