8027200021 has 2 divisors, whose sum is σ = 8027200022. Its totient is φ = 8027200020.

The previous prime is 8027200019. The next prime is 8027200039. The reversal of 8027200021 is 1200027208.

8027200021 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4084615921 + 3942584100 = 63911^2 + 62790^2 .

It is a cyclic number.

It is not a de Polignac number, because 8027200021 - 2¹ = 8027200019 is a prime.

Together with 8027200019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 8027199965 and 8027200001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8027200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4013600010 + 4013600011.

It is an arithmetic number, because the mean of its divisors is an integer number (4013600011).

Almost surely, 2^8027200021 is an apocalyptic number.

It is an amenable number.

8027200021 is a deficient number, since it is larger than the sum of its proper divisors (1).

8027200021 is an equidigital number, since it uses as much as digits as its factorization.

8027200021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 8027200021 is about 89594.6428141772. The cubic root of 8027200021 is about 2002.2641043652.

Adding to 8027200021 its reverse (1200027208), we get a palindrome (9227227229).

The spelling of 8027200021 in words is "eight billion, twenty-seven million, two hundred thousand, twenty-one".