33016984 has 192 divisors, whose sum is σ = 91929600. Its totient is φ = 10886400.

The previous prime is 33016981. The next prime is 33016999. The reversal of 33016984 is 48961033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33016981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1065049 + ... + 1065079.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 2^33016984 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 33016984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

33016984 is an abundant number, since it is smaller than the sum of its proper divisors (58912616).

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

33016984 is a wasteful number, since it uses less digits than its factorization.

33016984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 33016984 is about 5746.0407238376. The cubic root of 33016984 is about 320.8084505955.

Subtracting 33016984 from its reverse (48961033), we obtain a square (15944049 = 3993²).

The spelling of 33016984 in words is "thirty-three million, sixteen thousand, nine hundred eighty-four".