9905085 has 40 divisors (see below), whose sum is σ = 18263256. Its totient is φ = 5132160.

The previous prime is 9905059. The next prime is 9905087. The reversal of 9905085 is 5805099.

It can be written as a sum of positive squares in 4 ways, for example, as 4173849 + 5731236 = 2043^2 + 2394^2 .

It is not a de Polignac number, because 9905085 - 2⁵ = 9905053 is a prime.

It is a super-2 number, since 2×9905085² = 196221417714450, which contains 22 as substring.

9905085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9905087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14655 + ... + 15315.

Almost surely, 2^9905085 is an apocalyptic number.

It is an amenable number.

9905085 is a deficient number, since it is larger than the sum of its proper divisors (8358171).

9905085 is a wasteful number, since it uses less digits than its factorization.

9905085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 9905085 is about 3147.2345003193. The cubic root of 9905085 is about 214.7596737755.

Adding to 9905085 its product of nonzero digits (16200), we get a triangular number (9921285 = T₄₄₅₄).

The spelling of 9905085 in words is "nine million, nine hundred five thousand, eighty-five".