982813824 has 80 divisors (see below), whose sum is σ = 2924868870. Its totient is φ = 327601152.

The previous prime is 982813823. The next prime is 982813841. The reversal of 982813824 is 428318289.

It can be written as a sum of positive squares in only one way, i.e., 980942400 + 1871424 = 31320^2 + 1368^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 982813824.

It is not an unprimeable number, because it can be changed into a prime (982813823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37029 + ... + 57764.

Almost surely, 2^982813824 is an apocalyptic number.

It is an amenable number.

982813824 is an abundant number, since it is smaller than the sum of its proper divisors (1942055046).

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

982813824 is an equidigital number, since it uses as much as digits as its factorization.

982813824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94819 (or 94798 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 982813824 is about 31349.8616264889. The cubic root of 982813824 is about 994.2381393917.

The spelling of 982813824 in words is "nine hundred eighty-two million, eight hundred thirteen thousand, eight hundred twenty-four".