9008 has 10 divisors (see below), whose sum is σ = 17484. Its totient is φ = 4496.

The previous prime is 9007. The next prime is 9011. The reversal of 9008 is 8009.

It is a super-2 number, since 2×9008² = 162288128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 266 + ... + 297.

2⁹⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

9008 is a deficient number, since it is larger than the sum of its proper divisors (8476).

9008 is a wasteful number, since it uses less digits than its factorization.

9008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 9008 is about 94.9104841416. The cubic root of 9008 is about 20.8069996166.

Adding to 9008 its sum of digits (17), we get a square (9025 = 95²).

Subtracting from 9008 its reverse (8009), we obtain a palindrome (999).

The spelling of 9008 in words is "nine thousand, eight".