85170 has 32 divisors (see below), whose sum is σ = 217728. Its totient is φ = 21248.

The previous prime is 85159. The next prime is 85193. The reversal of 85170 is 7158.

85170 = T₅₀ + T₅₁ + ... + T₈₅.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

85170 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2⁸⁵¹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

85170 is an abundant number, since it is smaller than the sum of its proper divisors (132558).

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

85170 is a wasteful number, since it uses less digits than its factorization.

85170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 85170 is about 291.8389967088. The cubic root of 85170 is about 43.9975893996.

The spelling of 85170 in words is "eighty-five thousand, one hundred seventy".