86500 has 24 divisors (see below), whose sum is σ = 190008. Its totient is φ = 34400.

The previous prime is 86491. The next prime is 86501. The reversal of 86500 is 568.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 86436 = 8^2 + 294^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (86501) by changing a digit.

86500 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 7 ways as a sum of consecutive naturals, for example, 414 + ... + 586.

It is an arithmetic number, because the mean of its divisors is an integer number (7917).

2⁸⁶⁵⁰⁰ 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 86500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95004).

86500 is an abundant number, since it is smaller than the sum of its proper divisors (103508).

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

86500 is a wasteful number, since it uses less digits than its factorization.

86500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 86500 is about 294.1088233971. The cubic root of 86500 is about 44.2254271092.

The spelling of 86500 in words is "eighty-six thousand, five hundred".