9948825 has 60 divisors (see below), whose sum is σ = 19580220. Its totient is φ = 4993920.

The previous prime is 9948797. The next prime is 9948833. The reversal of 9948825 is 5288499.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 82944 + 9865881 = 288^2 + 3141^2 .

It is not a de Polignac number, because 9948825 - 2⁵ = 9948793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 585217 + ... + 585233.

It is an arithmetic number, because the mean of its divisors is an integer number (326337).

Almost surely, 2^9948825 is an apocalyptic number.

It is an amenable number.

9948825 is a deficient number, since it is larger than the sum of its proper divisors (9631395).

9948825 is an equidigital number, since it uses as much as digits as its factorization.

9948825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 25 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 9948825 is about 3154.1758035975. The cubic root of 9948825 is about 215.0753296519.

Multiplying 9948825 by its sum of digits (45), we get a cube (447697125 = 765³).

The spelling of 9948825 in words is "nine million, nine hundred forty-eight thousand, eight hundred twenty-five".