Just call and ask, but personally if you have no rental history I'd want everything else to be pristine to approve you. Run a credit check on yourself to see what it looks like (creditkarma.com); you should always know what your credit looks like anyway. If you can clear that debt up, do it. If not it will dog you for about 10 years and keep your credit score down for most of that time, effecting everything from getting approved for an apartment to buying a car.
You can a copy of your credit report from AnnualCreditReport.com Pull it and see what's on there; find out who claims you owe them $1700.
If the collection is legitimate, you'll have to pay it off or have a really good explanation for your next prospective landlord. If it is not legitimate, dispute the charge with the credit bureaus and keep following through with them until the collection is removed from your file.
Whenever you apply for an apartment, they check your credit. They dont want to rent to you if you owe that much. Pay the bill first.
pay the $1700
Why don't you pull your credit report and find out yourself.
I am not at all surprised. You reap what you sow.