90084033 has 24 divisors (see below), whose sum is σ = 141086400. Its totient is φ = 55058400.

The previous prime is 90084023. The next prime is 90084053. The reversal of 90084033 is 33048009.

It is not a de Polignac number, because 90084033 - 2⁴ = 90084017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90083988 and 90084006.

It is not an unprimeable number, because it can be changed into a prime (90084013) 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 23 ways as a sum of consecutive naturals, for example, 15118 + ... + 20216.

It is an arithmetic number, because the mean of its divisors is an integer number (5878600).

Almost surely, 2^90084033 is an apocalyptic number.

It is an amenable number.

90084033 is a deficient number, since it is larger than the sum of its proper divisors (51002367).

90084033 is a wasteful number, since it uses less digits than its factorization.

90084033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 90084033 is about 9491.2608751419. The cubic root of 90084033 is about 448.2799075223.

It can be divided in two parts, 9008 and 4033, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 90084033 in words is "ninety million, eighty-four thousand, thirty-three".