33408984 has 48 divisors (see below), whose sum is σ = 97162200. Its totient is φ = 9545088.

The previous prime is 33408971. The next prime is 33408997. The reversal of 33408984 is 48980433.

It is an interprime number because it is at equal distance from previous prime (33408971) and next prime (33408997).

It is a super-2 number, since 2×33408984² = 2232320423824512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13029 + ... + 15380.

Almost surely, 2^33408984 is an apocalyptic number.

It is an amenable number.

33408984 is an abundant number, since it is smaller than the sum of its proper divisors (63753216).

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

33408984 is a wasteful number, since it uses less digits than its factorization.

33408984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28432 (or 28421 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 33408984 is about 5780.0505188104. The cubic root of 33408984 is about 322.0730773018.

The spelling of 33408984 in words is "thirty-three million, four hundred eight thousand, nine hundred eighty-four".