8008409 has 2 divisors, whose sum is σ = 8008410. Its totient is φ = 8008408.

The previous prime is 8008387. The next prime is 8008453. The reversal of 8008409 is 9048008.

8008409 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7546009 + 462400 = 2747^2 + 680^2 .

It is a cyclic number.

It is not a de Polignac number, because 8008409 - 2¹² = 8004313 is a prime.

It is a super-2 number, since 2×8008409² = 128269229422562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (8008009) 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, 4004204 + 4004205.

It is an arithmetic number, because the mean of its divisors is an integer number (4004205).

Almost surely, 2^8008409 is an apocalyptic number.

It is an amenable number.

8008409 is a deficient number, since it is larger than the sum of its proper divisors (1).

8008409 is an equidigital number, since it uses as much as digits as its factorization.

8008409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 8008409 is about 2829.9132495538. The cubic root of 8008409 is about 200.0700504618.

The spelling of 8008409 in words is "eight million, eight thousand, four hundred nine".