33047964 has 72 divisors (see below), whose sum is σ = 88058880. Its totient is φ = 10430112.

The previous prime is 33047957. The next prime is 33047977. The reversal of 33047964 is 46974033.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 138157 + ... + 138395.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040).

Almost surely, 2^33047964 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 33047964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

33047964 is an abundant number, since it is smaller than the sum of its proper divisors (55010916).

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

33047964 is a wasteful number, since it uses less digits than its factorization.

33047964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 33047964 is about 5748.7358610394. The cubic root of 33047964 is about 320.9087579497.

The spelling of 33047964 in words is "thirty-three million, forty-seven thousand, nine hundred sixty-four".