9009873 has 20 divisors (see below), whose sum is σ = 13792548. Its totient is φ = 5857920.

The previous prime is 9009851. The next prime is 9009893. The reversal of 9009873 is 3789009.

9009873 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 2 ways, for example, as 4981824 + 4028049 = 2232^2 + 2007^2 .

It is not a de Polignac number, because 9009873 - 2¹⁴ = 8993489 is a prime.

It is a super-2 number, since 2×9009873² = 162355622952258, which contains 22 as substring.

9009873 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9009893) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1965 + ... + 4677.

Almost surely, 2^9009873 is an apocalyptic number.

It is an amenable number.

9009873 is a deficient number, since it is larger than the sum of its proper divisors (4782675).

9009873 is a wasteful number, since it uses less digits than its factorization.

9009873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9009873 is about 3001.6450489690. The cubic root of 9009873 is about 208.0844162407.

The spelling of 9009873 in words is "nine million, nine thousand, eight hundred seventy-three".