33500 has 24 divisors (see below), whose sum is σ = 74256. Its totient is φ = 13200.

The previous prime is 33493. The next prime is 33503. The reversal of 33500 is 533.

33500 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33500² = 2244500000, which contains 22 as substring.

33500 is strictly pandigital in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33503) 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 7 ways as a sum of consecutive naturals, for example, 467 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (3094).

2³³⁵⁰⁰ 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 33500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37128).

33500 is an abundant number, since it is smaller than the sum of its proper divisors (40756).

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

33500 is a wasteful number, since it uses less digits than its factorization.

33500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 11.

The square root of 33500 is about 183.0300521772. The cubic root of 33500 is about 32.2365286363.

Subtracting from 33500 its sum of digits (11), we obtain a square (33489 = 183²).

The spelling of 33500 in words is "thirty-three thousand, five hundred".