17001 has 6 divisors (see below), whose sum is σ = 24570. Its totient is φ = 11328.

The previous prime is 16993. The next prime is 17011. The reversal of 17001 is 10071.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 2601 = 120^2 + 51^2 .

It is not a de Polignac number, because 17001 - 2³ = 16993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1889 = 17001 / (1 + 7 + 0 + 0 + 1).

17001 is a lucky number.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 936 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2¹⁷⁰⁰¹ is an apocalyptic number.

It is an amenable number.

17001 is a deficient number, since it is larger than the sum of its proper divisors (7569).

17001 is a wasteful number, since it uses less digits than its factorization.

17001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 17001 is about 130.3878828726. The cubic root of 17001 is about 25.7133200696.

Adding to 17001 its reverse (10071), we get a palindrome (27072).

The spelling of 17001 in words is "seventeen thousand, one", and thus it is an iban number.