85096 has 16 divisors (see below), whose sum is σ = 174240. Its totient is φ = 38640.

The previous prime is 85093. The next prime is 85103. The reversal of 85096 is 69058.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 396 + ... + 571.

It is an arithmetic number, because the mean of its divisors is an integer number (10890).

2⁸⁵⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

85096 is an abundant number, since it is smaller than the sum of its proper divisors (89144).

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 (87120).

85096 is a wasteful number, since it uses less digits than its factorization.

85096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 85096 is about 291.7121869240. The cubic root of 85096 is about 43.9848432644.

It can be divided in two parts, 8509 and 6, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 85096 in words is "eighty-five thousand, ninety-six".