822003313 has 2 divisors, whose sum is σ = 822003314. Its totient is φ = 822003312.

The previous prime is 822003311. The next prime is 822003319. The reversal of 822003313 is 313300228.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 817559649 + 4443664 = 28593^2 + 2108^2 .

It is a cyclic number.

It is not a de Polignac number, because 822003313 - 2¹ = 822003311 is a prime.

Together with 822003311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (822003311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411001656 + 411001657.

It is an arithmetic number, because the mean of its divisors is an integer number (411001657).

Almost surely, 2^822003313 is an apocalyptic number.

It is an amenable number.

822003313 is a deficient number, since it is larger than the sum of its proper divisors (1).

822003313 is an equidigital number, since it uses as much as digits as its factorization.

822003313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 822003313 is about 28670.6001506770. The cubic root of 822003313 is about 936.7517705855.

The spelling of 822003313 in words is "eight hundred twenty-two million, three thousand, three hundred thirteen".