17008 has 10 divisors (see below), whose sum is σ = 32984. Its totient is φ = 8496.

The previous prime is 16993. The next prime is 17011. The reversal of 17008 is 80071.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 1063 = 17008 / (1 + 7 + 0 + 0 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 16982 and 17000.

It is a congruent number.

It is an unprimeable number.

17008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 516 + ... + 547.

2¹⁷⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

17008 is a deficient number, since it is larger than the sum of its proper divisors (15976).

17008 is a wasteful number, since it uses less digits than its factorization.

17008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 17008 is about 130.4147230952. The cubic root of 17008 is about 25.7168486569.

Adding to 17008 its reverse (80071), we get a palindrome (97079).

The spelling of 17008 in words is "seventeen thousand, eight".