The US government is shut down, and has been for one week as of writing. The government is also supposed to require a debt ceiling increase by Oct 17, or else the government will fail to be able to pay its debts. How is the first crisis affecting the second, specifically in the deadline? If the US Government is still shut down on October 17, will the debt ceiling still be reached?
For the most part, I would say that the first crisis (the shutdown) is affecting the second (debt limit) more politically than technically. Although, I suppose that without a budget to operate on, the Treasury may in fact have more cash on hand then it otherwise would, thus allowing the actual point at which it runs out of money to be pushed back (albeit a small amount).
As for the debt ceiling being reached I think it already has (someone correct me if I'm wrong) and what the Oct. 17th deadline is referring to is the point at which the government runs out of cash to pay ALL of its bills. Note: The government still will have inflows, they will just exceed the outflows.