90585075 has 54 divisors (see below), whose sum is σ = 175335876. Its totient is φ = 41146560.

The previous prime is 90585073. The next prime is 90585097. The reversal of 90585075 is 57058509.

It is not a de Polignac number, because 90585075 - 2¹ = 90585073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90585071) 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 53 ways as a sum of consecutive naturals, for example, 576897 + ... + 577053.

Almost surely, 2^90585075 is an apocalyptic number.

90585075 is a deficient number, since it is larger than the sum of its proper divisors (84750801).

90585075 is a wasteful number, since it uses less digits than its factorization.

90585075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 39.

The square root of 90585075 is about 9517.6191875910. The cubic root of 90585075 is about 449.1094734247.

The spelling of 90585075 in words is "ninety million, five hundred eighty-five thousand, seventy-five".