9731822500 has 45 divisors (see below), whose sum is σ = 21292341301. Its totient is φ = 3890756000.

The previous prime is 9731822497. The next prime is 9731822519. The reversal of 9731822500 is 52281379.

The square root of 9731822500 is 98650.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 9353597796 + 378224704 = 96714^2 + 19448^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9731822500.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4931514 + ... + 4933486.

Almost surely, 2^9731822500 is an apocalyptic number.

9731822500 is the 98650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9731822500

9731822500 is an abundant number, since it is smaller than the sum of its proper divisors (11560518801).

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

9731822500 is an frugal number, since it uses more digits than its factorization.

9731822500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The cubic root of 9731822500 is about 2135.0008866752. Note that the first 3 decimals are identical.

The spelling of 9731822500 in words is "nine billion, seven hundred thirty-one million, eight hundred twenty-two thousand, five hundred".