8006820749 has 2 divisors, whose sum is σ = 8006820750. Its totient is φ = 8006820748.

The previous prime is 8006820707. The next prime is 8006820797. The reversal of 8006820749 is 9470286008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7232311849 + 774508900 = 85043^2 + 27830^2 .

It is a cyclic number.

It is not a de Polignac number, because 8006820749 - 2¹⁶ = 8006755213 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8006820049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003410374 + 4003410375.

It is an arithmetic number, because the mean of its divisors is an integer number (4003410375).

Almost surely, 2^8006820749 is an apocalyptic number.

It is an amenable number.

8006820749 is a deficient number, since it is larger than the sum of its proper divisors (1).

8006820749 is an equidigital number, since it uses as much as digits as its factorization.

8006820749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 8006820749 is about 89480.8401223413. The cubic root of 8006820749 is about 2000.5682342896.

The spelling of 8006820749 in words is "eight billion, six million, eight hundred twenty thousand, seven hundred forty-nine".