33332985 has 48 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 15234912.

The previous prime is 33332953. The next prime is 33332987. The reversal of 33332985 is 58923333.

It is not a de Polignac number, because 33332985 - 2⁵ = 33332953 is a prime.

It is a super-2 number, since 2×33332985² = 2222175778020450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33332987) 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, 4096 + ... + 9134.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^33332985 is an apocalyptic number.

33332985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33332985 is an abundant number, since it is smaller than the sum of its proper divisors (35614215).

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

33332985 is a wasteful number, since it uses less digits than its factorization.

33332985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067 (or 5054 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 33332985 is about 5773.4725252659. The cubic root of 33332985 is about 321.8286738242.

The spelling of 33332985 in words is "thirty-three million, three hundred thirty-two thousand, nine hundred eighty-five".