9784000813 has 2 divisors, whose sum is σ = 9784000814. Its totient is φ = 9784000812.

The previous prime is 9784000801. The next prime is 9784000819. The reversal of 9784000813 is 3180004879.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9324412969 + 459587844 = 96563^2 + 21438^2 .

It is an emirp because it is prime and its reverse (3180004879) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9784000813 - 2⁹ = 9784000301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9784000819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4892000406 + 4892000407.

It is an arithmetic number, because the mean of its divisors is an integer number (4892000407).

Almost surely, 2^9784000813 is an apocalyptic number.

It is an amenable number.

9784000813 is a deficient number, since it is larger than the sum of its proper divisors (1).

9784000813 is an equidigital number, since it uses as much as digits as its factorization.

9784000813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 9784000813 is about 98914.1082606521. The cubic root of 9784000813 is about 2138.8097737697.

The spelling of 9784000813 in words is "nine billion, seven hundred eighty-four million, eight hundred thirteen", and thus it is an aban number.