9006749 has 2 divisors, whose sum is σ = 9006750. Its totient is φ = 9006748.

The previous prime is 9006707. The next prime is 9006769. The reversal of 9006749 is 9476009.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6996025 + 2010724 = 2645^2 + 1418^2 .

It is an emirp because it is prime and its reverse (9476009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9006749 - 2⁸ = 9006493 is a prime.

It is a super-2 number, since 2×9006749² = 162243055098002, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9006769) 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, 4503374 + 4503375.

It is an arithmetic number, because the mean of its divisors is an integer number (4503375).

Almost surely, 2^9006749 is an apocalyptic number.

It is an amenable number.

9006749 is a deficient number, since it is larger than the sum of its proper divisors (1).

9006749 is an equidigital number, since it uses as much as digits as its factorization.

9006749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 9006749 is about 3001.1246225374. The cubic root of 9006749 is about 208.0603637055.

The spelling of 9006749 in words is "nine million, six thousand, seven hundred forty-nine".