33096 has 32 divisors (see below), whose sum is σ = 95040. Its totient is φ = 9408.

The previous prime is 33091. The next prime is 33107. The reversal of 33096 is 69033.

It is a Harshad number since it is a multiple of its sum of digits (21).

33096 is an undulating number in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33096.

It is not an unprimeable number, because it can be changed into a prime (33091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (2970).

2³³⁰⁹⁶ 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 33096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47520).

33096 is an abundant number, since it is smaller than the sum of its proper divisors (61944).

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

33096 is a wasteful number, since it uses less digits than its factorization.

33096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 33096 is about 181.9230606603. The cubic root of 33096 is about 32.1064165510.

Subtracting 33096 from its reverse (69033), we obtain a cube (35937 = 33³).

The spelling of 33096 in words is "thirty-three thousand, ninety-six".