33300090 has 48 divisors (see below), whose sum is σ = 90350208. Its totient is φ = 8493408.

The previous prime is 33300089. The next prime is 33300097. The reversal of 33300090 is 9000333.

It is a super-2 number, since 2×33300090² = 2217791988016200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33300097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5974 + ... + 10113.

It is an arithmetic number, because the mean of its divisors is an integer number (1882296).

Almost surely, 2^33300090 is an apocalyptic number.

33300090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33300090 is an abundant number, since it is smaller than the sum of its proper divisors (57050118).

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

33300090 is a wasteful number, since it uses less digits than its factorization.

33300090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16123 (or 16120 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 33300090 is about 5770.6230166248. The cubic root of 33300090 is about 321.7227723313.

Adding to 33300090 its product of nonzero digits (243), we get a palindrome (33300333).

The spelling of 33300090 in words is "thirty-three million, three hundred thousand, ninety".