90509217 has 16 divisors (see below), whose sum is σ = 128040960. Its totient is φ = 56709072.

The previous prime is 90509201. The next prime is 90509219. The reversal of 90509217 is 71290509.

It is not a de Polignac number, because 90509217 - 2⁴ = 90509201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90509219) 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 15 ways as a sum of consecutive naturals, for example, 988 + ... + 13490.

It is an arithmetic number, because the mean of its divisors is an integer number (8002560).

Almost surely, 2^90509217 is an apocalyptic number.

It is an amenable number.

90509217 is a deficient number, since it is larger than the sum of its proper divisors (37531743).

90509217 is a wasteful number, since it uses less digits than its factorization.

90509217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12652.

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 90509217 is about 9513.6332176514. The cubic root of 90509217 is about 448.9840735882.

The spelling of 90509217 in words is "ninety million, five hundred nine thousand, two hundred seventeen".