821037312 has 108 divisors (see below), whose sum is σ = 2375457084. Its totient is φ = 272732160.

The previous prime is 821037311. The next prime is 821037319. The reversal of 821037312 is 213730128.

It can be written as a sum of positive squares in 2 ways, for example, as 141705216 + 679332096 = 11904^2 + 26064^2 .

It is not an unprimeable number, because it can be changed into a prime (821037311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1061758 + ... + 1062530.

It is an arithmetic number, because the mean of its divisors is an integer number (21994973).

Almost surely, 2^821037312 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 821037312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187728542).

821037312 is an abundant number, since it is smaller than the sum of its proper divisors (1554419772).

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

821037312 is a wasteful number, since it uses less digits than its factorization.

821037312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 821037312 is about 28653.7486552807. The cubic root of 821037312 is about 936.3846764231.

The spelling of 821037312 in words is "eight hundred twenty-one million, thirty-seven thousand, three hundred twelve".