33389772 has 48 divisors (see below), whose sum is σ = 84413280. Its totient is φ = 10211328.

The previous prime is 33389771. The next prime is 33389773. The reversal of 33389772 is 27798333.

It is an interprime number because it is at equal distance from previous prime (33389771) and next prime (33389773).

It is a super-2 number, since 2×33389772² = 2229753748423968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33389771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29554 + ... + 30662.

It is an arithmetic number, because the mean of its divisors is an integer number (1758610).

Almost surely, 2^33389772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33389772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42206640).

33389772 is an abundant number, since it is smaller than the sum of its proper divisors (51023508).

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

33389772 is a wasteful number, since it uses less digits than its factorization.

33389772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1320 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 33389772 is about 5778.3883566268. The cubic root of 33389772 is about 322.0113288968.

The spelling of 33389772 in words is "thirty-three million, three hundred eighty-nine thousand, seven hundred seventy-two".