9007085 has 16 divisors (see below), whose sum is σ = 11294640. Its totient is φ = 6888960.

The previous prime is 9007051. The next prime is 9007087. The reversal of 9007085 is 5807009.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 357604 + 8649481 = 598^2 + 2941^2 .

It is not a de Polignac number, because 9007085 - 2¹⁰ = 9006061 is a prime.

It is a super-2 number, since 2×9007085² = 162255160394450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9007087) 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, 10451 + ... + 11279.

It is an arithmetic number, because the mean of its divisors is an integer number (705915).

Almost surely, 2^9007085 is an apocalyptic number.

It is an amenable number.

9007085 is a deficient number, since it is larger than the sum of its proper divisors (2287555).

9007085 is a wasteful number, since it uses less digits than its factorization.

9007085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 9007085 is about 3001.1806010302. The cubic root of 9007085 is about 208.0629509288.

The spelling of 9007085 in words is "nine million, seven thousand, eighty-five".