9245200 has 60 divisors (see below), whose sum is σ = 23006340. Its totient is φ = 3566080.

The previous prime is 9245189. The next prime is 9245233. The reversal of 9245200 is 25429.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 173056 + 9072144 = 416^2 + 3012^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11202 + ... + 11998.

It is an arithmetic number, because the mean of its divisors is an integer number (383439).

Almost surely, 2^9245200 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 9245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503170).

9245200 is an abundant number, since it is smaller than the sum of its proper divisors (13761140).

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

9245200 is a wasteful number, since it uses less digits than its factorization.

9245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 9245200 is about 3040.5920476118. The cubic root of 9245200 is about 209.8805064711.

The spelling of 9245200 in words is "nine million, two hundred forty-five thousand, two hundred".