821365330 has 32 divisors (see below), whose sum is σ = 1501679088. Its totient is φ = 323424000.

The previous prime is 821365301. The next prime is 821365339. The reversal of 821365330 is 33563128.

It can be written as a sum of positive squares in 8 ways, for example, as 603832329 + 217533001 = 24573^2 + 14749^2 .

It is a junction number, because it is equal to n+sod(n) for n = 821365292 and 821365301.

It is not an unprimeable number, because it can be changed into a prime (821365339) 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 15 ways as a sum of consecutive naturals, for example, 180564 + ... + 185056.

Almost surely, 2^821365330 is an apocalyptic number.

821365330 is a deficient number, since it is larger than the sum of its proper divisors (680313758).

821365330 is a wasteful number, since it uses less digits than its factorization.

821365330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782.

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 821365330 is about 28659.4719072072. The cubic root of 821365330 is about 936.5093602141.

The spelling of 821365330 in words is "eight hundred twenty-one million, three hundred sixty-five thousand, three hundred thirty".