9001085 has 8 divisors (see below), whose sum is σ = 10818360. Its totient is φ = 7189504.

The previous prime is 9001063. The next prime is 9001093. The reversal of 9001085 is 5801009.

9001085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 643204 + 8357881 = 802^2 + 2891^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9001085 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9001085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3821 + ... + 5709.

It is an arithmetic number, because the mean of its divisors is an integer number (1352295).

Almost surely, 2^9001085 is an apocalyptic number.

It is an amenable number.

9001085 is a deficient number, since it is larger than the sum of its proper divisors (1817275).

9001085 is a wasteful number, since it uses less digits than its factorization.

9001085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 9001085 is about 3000.1808278835. The cubic root of 9001085 is about 208.0167408247.

The spelling of 9001085 in words is "nine million, one thousand, eighty-five".