982822500 has 405 divisors, whose sum is σ = 3601380783. Its totient is φ = 225720000.

The previous prime is 982822487. The next prime is 982822517. The reversal of 982822500 is 5228289.

The square root of 982822500 is 31350.

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

982822500 is digitally balanced in base 2, 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 2 ways, for example, as 77053284 + 905769216 = 8778^2 + 30096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 51727491 + ... + 51727509.

Almost surely, 2^982822500 is an apocalyptic number.

982822500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

982822500 is the 31350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982822500

982822500 is an abundant number, since it is smaller than the sum of its proper divisors (2618558283).

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

982822500 is a wasteful number, since it uses less digits than its factorization.

982822500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The cubic root of 982822500 is about 994.2410650000.

Multiplying 982822500 by its sum of digits (36), we get a square (35381610000 = 188100²).

982822500 divided by its sum of digits (36) gives a square (27300625 = 5225²).

The spelling of 982822500 in words is "nine hundred eighty-two million, eight hundred twenty-two thousand, five hundred".