800222321 has 2 divisors, whose sum is σ = 800222322. Its totient is φ = 800222320.

The previous prime is 800222309. The next prime is 800222333. The reversal of 800222321 is 123222008.

It is a balanced prime because it is at equal distance from previous prime (800222309) and next prime (800222333).

It can be written as a sum of positive squares in only one way, i.e., 476941921 + 323280400 = 21839^2 + 17980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-800222321 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 800222293 and 800222302.

It is not a weakly prime, because it can be changed into another prime (800222341) 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, 400111160 + 400111161.

It is an arithmetic number, because the mean of its divisors is an integer number (400111161).

Almost surely, 2^800222321 is an apocalyptic number.

It is an amenable number.

800222321 is a deficient number, since it is larger than the sum of its proper divisors (1).

800222321 is an equidigital number, since it uses as much as digits as its factorization.

800222321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 800222321 is about 28288.2010916212. The cubic root of 800222321 is about 928.4037523138.

Adding to 800222321 its reverse (123222008), we get a palindrome (923444329).

The spelling of 800222321 in words is "eight hundred million, two hundred twenty-two thousand, three hundred twenty-one".