9813825 has 96 divisors (see below), whose sum is σ = 21585920. Its totient is φ = 4276800.

The previous prime is 9813787. The next prime is 9813827. The reversal of 9813825 is 5283189.

It is not a de Polignac number, because 9813825 - 2⁹ = 9813313 is a prime.

It is a super-2 number, since 2×9813825² = 192622322261250, which contains 22 as substring.

9813825 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 9813825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9813827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146442 + ... + 146508.

Almost surely, 2^9813825 is an apocalyptic number.

9813825 is the 1809-th octagonal number.

It is an amenable number.

9813825 is an abundant number, since it is smaller than the sum of its proper divisors (11772095).

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

9813825 is a wasteful number, since it uses less digits than its factorization.

9813825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 9813825 is about 3132.7025074207. The cubic root of 9813825 is about 214.0980786051.

The spelling of 9813825 in words is "nine million, eight hundred thirteen thousand, eight hundred twenty-five".