9930825 has 72 divisors (see below), whose sum is σ = 19730880. Its totient is φ = 4752000.

The previous prime is 9930797. The next prime is 9930827. The reversal of 9930825 is 5280399.

9930825 = 64³ + 65³ + ... + 86³.

It is not a de Polignac number, because 9930825 - 2¹⁴ = 9914441 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 9930825.

It is not an unprimeable number, because it can be changed into a prime (9930827) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98275 + ... + 98375.

It is an arithmetic number, because the mean of its divisors is an integer number (274040).

Almost surely, 2^9930825 is an apocalyptic number.

9930825 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9930825 is a deficient number, since it is larger than the sum of its proper divisors (9800055).

9930825 is a wasteful number, since it uses less digits than its factorization.

9930825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9930825 is about 3151.3211515172. The cubic root of 9930825 is about 214.9455423640.

The spelling of 9930825 in words is "nine million, nine hundred thirty thousand, eight hundred twenty-five".