9285200 has 60 divisors (see below), whose sum is σ = 22602720. Its totient is φ = 3665280.

The previous prime is 9285197. The next prime is 9285203. The reversal of 9285200 is 25829.

It is an interprime number because it is at equal distance from previous prime (9285197) and next prime (9285203).

It is a self number, because there is not a number n which added to its sum of digits gives 9285200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9285203) 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 11 ways as a sum of consecutive naturals, for example, 55517 + ... + 55683.

It is an arithmetic number, because the mean of its divisors is an integer number (376712).

Almost surely, 2^9285200 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 9285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11301360).

9285200 is an abundant number, since it is smaller than the sum of its proper divisors (13317520).

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

9285200 is a wasteful number, since it uses less digits than its factorization.

9285200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 9285200 is about 3047.1626146302. The cubic root of 9285200 is about 210.1827585145.

The spelling of 9285200 in words is "nine million, two hundred eighty-five thousand, two hundred".