33981504 has 112 divisors (see below), whose sum is σ = 98755200. Its totient is φ = 10264576.

The previous prime is 33981491. The next prime is 33981509. The reversal of 33981504 is 40518933.

It is a super-2 number, since 2×33981504² = 2309485228204032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33981509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94477 + ... + 94835.

Almost surely, 2^33981504 is an apocalyptic number.

33981504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33981504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49377600).

33981504 is an abundant number, since it is smaller than the sum of its proper divisors (64773696).

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

33981504 is a wasteful number, since it uses less digits than its factorization.

33981504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 33981504 is about 5829.3656601726. The cubic root of 33981504 is about 323.9024245114.

The spelling of 33981504 in words is "thirty-three million, nine hundred eighty-one thousand, five hundred four".