85500 has 72 divisors (see below), whose sum is σ = 283920. Its totient is φ = 21600.

The previous prime is 85487. The next prime is 85513. The reversal of 85500 is 558.

85500 is nontrivially palindromic in base 14.

85500 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (85487) and next prime (85513).

It is a Harshad number since it is a multiple of its sum of digits (18).

85500 is an undulating number in base 14.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4491 + ... + 4509.

2⁸⁵⁵⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141960).

85500 is an abundant number, since it is smaller than the sum of its proper divisors (198420).

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

85500 is a wasteful number, since it uses less digits than its factorization.

85500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 85500 is about 292.4038303443. The cubic root of 85500 is about 44.0543405746.

It can be divided in two parts, 85 and 500, that added together give a palindrome (585).

The spelling of 85500 in words is "eighty-five thousand, five hundred".