9845125 has 32 divisors (see below), whose sum is σ = 13444704. Its totient is φ = 7168000.

The previous prime is 9845117. The next prime is 9845141. The reversal of 9845125 is 5215489.

It can be written as a sum of positive squares in 16 ways, for example, as 9721924 + 123201 = 3118^2 + 351^2 .

It is not a de Polignac number, because 9845125 - 2³ = 9845117 is a prime.

It is a Duffinian number.

9845125 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 87069 + ... + 87181.

It is an arithmetic number, because the mean of its divisors is an integer number (420147).

Almost surely, 2^9845125 is an apocalyptic number.

It is an amenable number.

9845125 is a deficient number, since it is larger than the sum of its proper divisors (3599579).

9845125 is a wasteful number, since it uses less digits than its factorization.

9845125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its digits is 14400, while the sum is 34.

The square root of 9845125 is about 3137.6942170964. The cubic root of 9845125 is about 214.3254503031.

The spelling of 9845125 in words is "nine million, eight hundred forty-five thousand, one hundred twenty-five".