85110 has 16 divisors (see below), whose sum is σ = 204336. Its totient is φ = 22688.

The previous prime is 85109. The next prime is 85121. The reversal of 85110 is 1158.

85110 = 30² + 31² + ... + 65².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 85110.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85110.

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, 1389 + ... + 1448.

It is an arithmetic number, because the mean of its divisors is an integer number (12771).

2⁸⁵¹¹⁰ is an apocalyptic number.

85110 is an abundant number, since it is smaller than the sum of its proper divisors (119226).

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 (102168).

85110 is a wasteful number, since it uses less digits than its factorization.

85110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 85110 is about 291.7361821921. The cubic root of 85110 is about 43.9872552620.

Adding to 85110 its reverse (1158), we get a palindrome (86268).

It can be divided in two parts, 851 and 10, that added together give a triangular number (861 = T₄₁).

The spelling of 85110 in words is "eighty-five thousand, one hundred ten".