33022944 has 96 divisors (see below), whose sum is σ = 99015840. Its totient is φ = 10699776.

The previous prime is 33022939. The next prime is 33022973. The reversal of 33022944 is 44922033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31452 + ... + 32484.

It is an arithmetic number, because the mean of its divisors is an integer number (1031415).

Almost surely, 2^33022944 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 33022944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49507920).

33022944 is an abundant number, since it is smaller than the sum of its proper divisors (65992896).

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

33022944 is a wasteful number, since it uses less digits than its factorization.

33022944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33022944 is about 5746.5593184096. The cubic root of 33022944 is about 320.8277528161.

Adding to 33022944 its product of nonzero digits (5184), we get a triangular number (33028128 = T₈₁₂₇).

Adding to 33022944 its reverse (44922033), we get a palindrome (77944977).

The spelling of 33022944 in words is "thirty-three million, twenty-two thousand, nine hundred forty-four".