8000749 has 2 divisors, whose sum is σ = 8000750. Its totient is φ = 8000748.

The previous prime is 8000747. The next prime is 8000753. The reversal of 8000749 is 9470008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6666724 + 1334025 = 2582^2 + 1155^2 .

It is a cyclic number.

It is not a de Polignac number, because 8000749 - 2¹ = 8000747 is a prime.

It is a super-3 number, since 3×8000749³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 8000747, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8000747) 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, 4000374 + 4000375.

It is an arithmetic number, because the mean of its divisors is an integer number (4000375).

Almost surely, 2^8000749 is an apocalyptic number.

It is an amenable number.

8000749 is a deficient number, since it is larger than the sum of its proper divisors (1).

8000749 is an equidigital number, since it uses as much as digits as its factorization.

8000749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 8000749 is about 2828.5595273920. The cubic root of 8000749 is about 200.0062414719.

The spelling of 8000749 in words is "eight million, seven hundred forty-nine", and thus it is an aban number.