8214828001 has 2 divisors, whose sum is σ = 8214828002. Its totient is φ = 8214828000.

The previous prime is 8214827989. The next prime is 8214828047. The reversal of 8214828001 is 1008284128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5646771025 + 2568056976 = 75145^2 + 50676^2 .

It is a cyclic number.

It is not a de Polignac number, because 8214828001 - 2²⁷ = 8080610273 is a prime.

It is not a weakly prime, because it can be changed into another prime (8214828901) 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, 4107414000 + 4107414001.

It is an arithmetic number, because the mean of its divisors is an integer number (4107414001).

Almost surely, 2^8214828001 is an apocalyptic number.

It is an amenable number.

8214828001 is a deficient number, since it is larger than the sum of its proper divisors (1).

8214828001 is an equidigital number, since it uses as much as digits as its factorization.

8214828001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 8214828001 is about 90635.6883407414. The cubic root of 8214828001 is about 2017.7444353323.

The spelling of 8214828001 in words is "eight billion, two hundred fourteen million, eight hundred twenty-eight thousand, one".