8229784001 has 2 divisors, whose sum is σ = 8229784002. Its totient is φ = 8229784000.

The previous prime is 8229783967. The next prime is 8229784009. The reversal of 8229784001 is 1004879228.

8229784001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6091646401 + 2138137600 = 78049^2 + 46240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8229784001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8229784001.

It is not a weakly prime, because it can be changed into another prime (8229784009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4114892000 + 4114892001.

It is an arithmetic number, because the mean of its divisors is an integer number (4114892001).

Almost surely, 2^8229784001 is an apocalyptic number.

It is an amenable number.

8229784001 is a deficient number, since it is larger than the sum of its proper divisors (1).

8229784001 is an equidigital number, since it uses as much as digits as its factorization.

8229784001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 8229784001 is about 90718.1569532803. The cubic root of 8229784001 is about 2018.9682016939.

The spelling of 8229784001 in words is "eight billion, two hundred twenty-nine million, seven hundred eighty-four thousand, one".