9000312 has 64 divisors (see below), whose sum is σ = 23500800. Its totient is φ = 2870400.

The previous prime is 9000289. The next prime is 9000317. The reversal of 9000312 is 2130009.

It is a junction number, because it is equal to n+sod(n) for n = 9000291 and 9000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89062 + ... + 89162.

It is an arithmetic number, because the mean of its divisors is an integer number (367200).

Almost surely, 2^9000312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750400).

9000312 is an abundant number, since it is smaller than the sum of its proper divisors (14500488).

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

9000312 is a wasteful number, since it uses less digits than its factorization.

9000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 9000312 is about 3000.0519995493. The cubic root of 9000312 is about 208.0107859298.

The spelling of 9000312 in words is "nine million, three hundred twelve", and thus it is an aban number.