33055104 has 64 divisors (see below), whose sum is σ = 89352000. Its totient is φ = 10824192.

The previous prime is 33055103. The next prime is 33055109. The reversal of 33055104 is 40155033.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33055103) 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, 21927 + ... + 23385.

It is an arithmetic number, because the mean of its divisors is an integer number (1396125).

Almost surely, 2^33055104 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 33055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44676000).

33055104 is an abundant number, since it is smaller than the sum of its proper divisors (56296896).

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

33055104 is a wasteful number, since it uses less digits than its factorization.

33055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 33055104 is about 5749.3568335945. The cubic root of 33055104 is about 320.9318670237.

The spelling of 33055104 in words is "thirty-three million, fifty-five thousand, one hundred four".