822804005 has 8 divisors (see below), whose sum is σ = 987589752. Its totient is φ = 658093248.

The previous prime is 822803981. The next prime is 822804007. The reversal of 822804005 is 500408228.

822804005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 482549089 + 340254916 = 21967^2 + 18446^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 822804005 - 2⁶ = 822803941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822804007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9179 + ... + 41591.

It is an arithmetic number, because the mean of its divisors is an integer number (123448719).

Almost surely, 2^822804005 is an apocalyptic number.

It is an amenable number.

822804005 is a deficient number, since it is larger than the sum of its proper divisors (164785747).

822804005 is a wasteful number, since it uses less digits than its factorization.

822804005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37495.

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 822804005 is about 28684.5603940517. The cubic root of 822804005 is about 937.0558270428.

The spelling of 822804005 in words is "eight hundred twenty-two million, eight hundred four thousand, five".