33000096 has 48 divisors (see below), whose sum is σ = 87169824. Its totient is φ = 10930944.

The previous prime is 33000091. The next prime is 33000103. The reversal of 33000096 is 69000033.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (33000091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15615 + ... + 17601.

It is an arithmetic number, because the mean of its divisors is an integer number (1816038).

Almost surely, 2^33000096 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 33000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43584912).

33000096 is an abundant number, since it is smaller than the sum of its proper divisors (54169728).

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

33000096 is a wasteful number, since it uses less digits than its factorization.

33000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2165 counting only the distinct ones).

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

The square root of 33000096 is about 5744.5710022594. The cubic root of 33000096 is about 320.7537440329.

The spelling of 33000096 in words is "thirty-three million, ninety-six", and thus it is an aban number and an uban number.