33889007 has 12 divisors (see below), whose sum is σ = 36287400. Its totient is φ = 31641216.

The previous prime is 33888997. The next prime is 33889013. The reversal of 33889007 is 70098833.

33889007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33889007 - 2¹⁴ = 33872623 is a prime.

It is a super-2 number, since 2×33889007² = 2296929590892098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33889907) 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 11 ways as a sum of consecutive naturals, for example, 42668 + ... + 43454.

It is an arithmetic number, because the mean of its divisors is an integer number (3023950).

Almost surely, 2^33889007 is an apocalyptic number.

33889007 is a deficient number, since it is larger than the sum of its proper divisors (2398393).

33889007 is a wasteful number, since it uses less digits than its factorization.

33889007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 33889007 is about 5821.4265433826. The cubic root of 33889007 is about 323.6082720684.

The spelling of 33889007 in words is "thirty-three million, eight hundred eighty-nine thousand, seven".