33485312 has 40 divisors (see below), whose sum is σ = 76471296. Its totient is φ = 14349312.

The previous prime is 33485311. The next prime is 33485317. The reversal of 33485312 is 21358433.

It is a super-2 number, since 2×33485312² = 2242532239474688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33485311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1088 + ... + 8255.

Almost surely, 2^33485312 is an apocalyptic number.

33485312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33485312 is an abundant number, since it is smaller than the sum of its proper divisors (42985984).

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

33485312 is an frugal number, since it uses more digits than its factorization.

33485312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9368 (or 9352 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 33485312 is about 5786.6494623400. The cubic root of 33485312 is about 322.3181660300.

The spelling of 33485312 in words is "thirty-three million, four hundred eighty-five thousand, three hundred twelve".