90817009 has 16 divisors (see below), whose sum is σ = 101923920. Its totient is φ = 80496640.

The previous prime is 90817007. The next prime is 90817031. The reversal of 90817009 is 90071809.

It can be written as a sum of positive squares in 8 ways, for example, as 5161984 + 85655025 = 2272^2 + 9255^2 .

It is a cyclic number.

It is not a de Polignac number, because 90817009 - 2¹ = 90817007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90817007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17967 + ... + 22459.

It is an arithmetic number, because the mean of its divisors is an integer number (6370245).

Almost surely, 2^90817009 is an apocalyptic number.

It is an amenable number.

90817009 is a deficient number, since it is larger than the sum of its proper divisors (11106911).

90817009 is a wasteful number, since it uses less digits than its factorization.

90817009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580.

The product of its (nonzero) digits is 4536, while the sum is 34.

The square root of 90817009 is about 9529.7958530076. The cubic root of 90817009 is about 449.4924466778.

The spelling of 90817009 in words is "ninety million, eight hundred seventeen thousand, nine".