821139282 has 96 divisors (see below), whose sum is σ = 1910563200. Its totient is φ = 264176640.

The previous prime is 821139251. The next prime is 821139289. The reversal of 821139282 is 282931128.

821139282 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (821139289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1828594 + ... + 1829042.

It is an arithmetic number, because the mean of its divisors is an integer number (19901700).

Almost surely, 2^821139282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821139282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955281600).

821139282 is an abundant number, since it is smaller than the sum of its proper divisors (1089423918).

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

821139282 is a wasteful number, since it uses less digits than its factorization.

821139282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 578 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 821139282 is about 28655.5279483732. The cubic root of 821139282 is about 936.4234400665.

The spelling of 821139282 in words is "eight hundred twenty-one million, one hundred thirty-nine thousand, two hundred eighty-two".