9001000 has 32 divisors (see below), whose sum is σ = 21064680. Its totient is φ = 3600000.

The previous prime is 9000997. The next prime is 9001001. The reversal of 9001000 is 1009.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1350244 + 7650756 = 1162^2 + 2766^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (9001001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3501 + ... + 5500.

Almost surely, 2^9001000 is an apocalyptic number.

It is an amenable number.

9001000 is an abundant number, since it is smaller than the sum of its proper divisors (12063680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9001000 is a wasteful number, since it uses less digits than its factorization.

9001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9022 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 9001000 is about 3000.1666620373. The cubic root of 9001000 is about 208.0160860340.

Adding to 9001000 its reverse (1009), we get a palindrome (9002009).

The spelling of 9001000 in words is "nine million, one thousand".