8082009 has 24 divisors (see below), whose sum is σ = 12772032. Its totient is φ = 4894560.

The previous prime is 8081971. The next prime is 8082013. The reversal of 8082009 is 9002808.

8082009 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8082009 - 2⁸ = 8081753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8082079) 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 in 23 ways as a sum of consecutive naturals, for example, 7324 + ... + 8354.

It is an arithmetic number, because the mean of its divisors is an integer number (532168).

Almost surely, 2^8082009 is an apocalyptic number.

It is an amenable number.

8082009 is a deficient number, since it is larger than the sum of its proper divisors (4690023).

8082009 is a wasteful number, since it uses less digits than its factorization.

8082009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8082009 is about 2842.8874406139. The cubic root of 8082009 is about 200.6810863077.

The spelling of 8082009 in words is "eight million, eighty-two thousand, nine".