85995 has 48 divisors (see below), whose sum is σ = 191520. Its totient is φ = 36288.

The previous prime is 85991. The next prime is 85999. The reversal of 85995 is 59958.

It is an interprime number because it is at equal distance from previous prime (85991) and next prime (85999).

It is not a de Polignac number, because 85995 - 2² = 85991 is a prime.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (85991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6609 + ... + 6621.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

2⁸⁵⁹⁹⁵ is an apocalyptic number.

85995 is the 147-th decagonal number.

85995 is an abundant number, since it is smaller than the sum of its proper divisors (105525).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

85995 is a wasteful number, since it uses less digits than its factorization.

85995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 28 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 85995 is about 293.2490409191. The cubic root of 85995 is about 44.1391941805.

The spelling of 85995 in words is "eighty-five thousand, nine hundred ninety-five".