821847312 has 240 divisors, whose sum is σ = 2734699968. Its totient is φ = 227128320.

The previous prime is 821847307. The next prime is 821847319. The reversal of 821847312 is 213748128.

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

It is not an unprimeable number, because it can be changed into a prime (821847319) 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 47 ways as a sum of consecutive naturals, for example, 2203158 + ... + 2203530.

Almost surely, 2^821847312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821847312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367349984).

821847312 is an abundant number, since it is smaller than the sum of its proper divisors (1912852656).

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

821847312 is a wasteful number, since it uses less digits than its factorization.

821847312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 509 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 821847312 is about 28667.8794472141. The cubic root of 821847312 is about 936.6925074592.

The spelling of 821847312 in words is "eight hundred twenty-one million, eight hundred forty-seven thousand, three hundred twelve".