33772890 has 16 divisors (see below), whose sum is σ = 81055008. Its totient is φ = 9006096.

The previous prime is 33772883. The next prime is 33772909. The reversal of 33772890 is 9827733.

It is a super-2 number, since 2×33772890² = 2281216197904200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562852 + ... + 562911.

It is an arithmetic number, because the mean of its divisors is an integer number (5065938).

Almost surely, 2^33772890 is an apocalyptic number.

33772890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33772890 is an abundant number, since it is smaller than the sum of its proper divisors (47282118).

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

33772890 is a wasteful number, since it uses less digits than its factorization.

33772890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125773.

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 33772890 is about 5811.4447429189. Note that the first 3 decimals coincide. The cubic root of 33772890 is about 323.2382462684.

The spelling of 33772890 in words is "thirty-three million, seven hundred seventy-two thousand, eight hundred ninety".