33225984 has 288 divisors, whose sum is σ = 117734400. Its totient is φ = 9123840.

The previous prime is 33225977. The next prime is 33226013. The reversal of 33225984 is 48952233.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×33225984² = 2207932025536512, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444597 + ... + 1444619.

It is an arithmetic number, because the mean of its divisors is an integer number (408800).

Almost surely, 2^33225984 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 33225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58867200).

33225984 is an abundant number, since it is smaller than the sum of its proper divisors (84508416).

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

33225984 is a wasteful number, since it uses less digits than its factorization.

33225984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 33225984 is about 5764.1984698655. The cubic root of 33225984 is about 321.4839411915.

The spelling of 33225984 in words is "thirty-three million, two hundred twenty-five thousand, nine hundred eighty-four".