33033364 has 48 divisors (see below), whose sum is σ = 71739136. Its totient is φ = 12960000.

The previous prime is 33033337. The next prime is 33033373. The reversal of 33033364 is 46333033.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54664 + ... + 55264.

Almost surely, 2^33033364 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 33033364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35869568).

33033364 is an abundant number, since it is smaller than the sum of its proper divisors (38705772).

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

33033364 is a wasteful number, since it uses less digits than its factorization.

33033364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

The square root of 33033364 is about 5747.4658763667. The cubic root of 33033364 is about 320.8614937371.

Adding to 33033364 its reverse (46333033), we get a palindrome (79366397).

The spelling of 33033364 in words is "thirty-three million, thirty-three thousand, three hundred sixty-four".