17013 has 8 divisors (see below), whose sum is σ = 23328. Its totient is φ = 11024.

The previous prime is 17011. The next prime is 17021. The reversal of 17013 is 31071.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 17013 - 2¹ = 17011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 17013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 212.

It is an arithmetic number, because the mean of its divisors is an integer number (2916).

2¹⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

17013 is a deficient number, since it is larger than the sum of its proper divisors (6315).

17013 is a wasteful number, since it uses less digits than its factorization.

17013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 17013 is about 130.4338913013. The cubic root of 17013 is about 25.7193684838.

Adding to 17013 its reverse (31071), we get a palindrome (48084).

The spelling of 17013 in words is "seventeen thousand, thirteen".