Bitcoin's combination of valuable properties make bitcoin valuable.
Then it's basically just valuable in the same way that a family photo is valuable.
Now you're just being obtuse. Your family photo isn't worth very much to me, unless I can sell it to you, who presumably values it.
Bitcoin has value to anyone who wishes to partake in an economy that uses bitcoin, which is increasing daily, partly for the reasons I outlined above.
Permit me attempt to clarify the distinction between inherent and intrinsic. Many people use the terms interchangeably, but when discussing money, the term "intrinsic value" is often taken to mean something like gold's utility as a metal in electronics or oil's stored energy. "Intrinsic" thus has a technical meaning when discussing money, so I needed to use a term which is distinct to describe a concept which is distinct, especially when talking about something so abstract as digital bearer currency.
Words matter, and I don't want to let bitcoin's utility be talked down because of some hang-up over people saying it has no value in and of itself. It does, as information. It doesn't as a physical commodity -- because it isn't a physical commodity.