33047320 has 64 divisors (see below), whose sum is σ = 82192320. Its totient is φ = 11894784.

The previous prime is 33047233. The next prime is 33047323. The reversal of 33047320 is 2374033.

It is a junction number, because it is equal to n+sod(n) for n = 33047291 and 33047300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33047323) by changing a digit.

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, 14584 + ... + 16696.

It is an arithmetic number, because the mean of its divisors is an integer number (1284255).

Almost surely, 2^33047320 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 33047320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41096160).

33047320 is an abundant number, since it is smaller than the sum of its proper divisors (49145000).

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

33047320 is a wasteful number, since it uses less digits than its factorization.

33047320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 22.

The square root of 33047320 is about 5748.6798484522. The cubic root of 33047320 is about 320.9066734382.

The spelling of 33047320 in words is "thirty-three million, forty-seven thousand, three hundred twenty".