I wouldn't make a point related to whom you've been surrounded by - it should be about your achievements, not theirs.
But as you've said, you have a couple of months left. Read around your subject, maybe complete a MOOC, watch online courses or lectures, read relevant books, there are plenty of things that show you're interested and prepared that are achievable within the deadline. There's no rush, either; it is, for a reason, called the equal consideration deadline.