8006749 has 2 divisors, whose sum is σ = 8006750. Its totient is φ = 8006748.

The previous prime is 8006699. The next prime is 8006753. The reversal of 8006749 is 9476008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6812100 + 1194649 = 2610^2 + 1093^2 .

It is a cyclic number.

It is not a de Polignac number, because 8006749 - 2⁹ = 8006237 is a prime.

8006749 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8006149) 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, 4003374 + 4003375.

It is an arithmetic number, because the mean of its divisors is an integer number (4003375).

Almost surely, 2^8006749 is an apocalyptic number.

It is an amenable number.

8006749 is a deficient number, since it is larger than the sum of its proper divisors (1).

8006749 is an equidigital number, since it uses as much as digits as its factorization.

8006749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 8006749 is about 2829.6199391438. The cubic root of 8006749 is about 200.0562258584.

The spelling of 8006749 in words is "eight million, six thousand, seven hundred forty-nine".