36500 has 24 divisors (see below), whose sum is σ = 80808. Its totient is φ = 14400.

The previous prime is 36497. The next prime is 36523. The reversal of 36500 is 563.

It is a happy number.

36500 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 1156 + 35344 = 34^2 + 188^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 464 + ... + 536.

It is an arithmetic number, because the mean of its divisors is an integer number (3367).

2³⁶⁵⁰⁰ 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 36500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40404).

36500 is an abundant number, since it is smaller than the sum of its proper divisors (44308).

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

36500 is a wasteful number, since it uses less digits than its factorization.

36500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 36500 is about 191.0497317454. The cubic root of 36500 is about 33.1714371843.

Subtracting from 36500 its reverse (563), we obtain a cube (35937 = 33³).

The spelling of 36500 in words is "thirty-six thousand, five hundred".