8008385 has 48 divisors (see below), whose sum is σ = 12665856. Its totient is φ = 4752000.

The previous prime is 8008381. The next prime is 8008387. The reversal of 8008385 is 5838008.

It is a happy number.

It is not a de Polignac number, because 8008385 - 2² = 8008381 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8008381) 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 in 47 ways as a sum of consecutive naturals, for example, 131255 + ... + 131315.

It is an arithmetic number, because the mean of its divisors is an integer number (263872).

Almost surely, 2^8008385 is an apocalyptic number.

It is an amenable number.

8008385 is a deficient number, since it is larger than the sum of its proper divisors (4657471).

8008385 is a wasteful number, since it uses less digits than its factorization.

8008385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 8008385 is about 2829.9090091379. The cubic root of 8008385 is about 200.0698506016.

The spelling of 8008385 in words is "eight million, eight thousand, three hundred eighty-five".