9753125 has 12 divisors (see below), whose sum is σ = 12194532. Its totient is φ = 7800000.

The previous prime is 9753119. The next prime is 9753151. The reversal of 9753125 is 5213579.

9753125 is digitally balanced in base 3, 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 6 ways, for example, as 9728161 + 24964 = 3119^2 + 158^2 .

It is not a de Polignac number, because 9753125 - 2⁴ = 9753109 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 9753091 and 9753100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1565 + ... + 4685.

It is an arithmetic number, because the mean of its divisors is an integer number (1016211).

Almost surely, 2^9753125 is an apocalyptic number.

It is an amenable number.

9753125 is a deficient number, since it is larger than the sum of its proper divisors (2441407).

9753125 is an frugal number, since it uses more digits than its factorization.

9753125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3126 counting only the distinct ones).

The product of its digits is 9450, while the sum is 32.

The square root of 9753125 is about 3122.9993595901. Note that the first 3 decimals coincide. The cubic root of 9753125 is about 213.6557556783.

The spelling of 9753125 in words is "nine million, seven hundred fifty-three thousand, one hundred twenty-five".