9005849 has 2 divisors, whose sum is σ = 9005850. Its totient is φ = 9005848.

The previous prime is 9005839. The next prime is 9005873. The reversal of 9005849 is 9485009.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4700224 + 4305625 = 2168^2 + 2075^2 .

It is a cyclic number.

It is not a de Polignac number, because 9005849 - 2¹⁶ = 8940313 is a prime.

It is a super-2 number, since 2×9005849² = 162210632421602, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (9005839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4502924 + 4502925.

It is an arithmetic number, because the mean of its divisors is an integer number (4502925).

Almost surely, 2^9005849 is an apocalyptic number.

It is an amenable number.

9005849 is a deficient number, since it is larger than the sum of its proper divisors (1).

9005849 is an equidigital number, since it uses as much as digits as its factorization.

9005849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 9005849 is about 3000.9746750014. The cubic root of 9005849 is about 208.0534333260.

The spelling of 9005849 in words is "nine million, five thousand, eight hundred forty-nine".