The listing agent probably put the status as "under contract" to avoid more offers coming in until these have been reviewed. With your offer coming in at full price, there is little reason for them to keep fishing for more offers unless your financing or other terms were shaky.
Unfortunately the "under review" time is as much time as the bank wants. There are 2 rules with banks and time frames, yours and theirs. You must hurry up whenever they ask and they can take their time and get back to you when they are ready.
The main question you could be worried about is did any of the other offers come in above list price? Chances are, they will come back to you and the others and request 'highest and best." You'll have a chance at that point to decide if you want to improve your offer. Discuss this in detail with your agent, to see if the home was priced correctly to begin with and if you should go any higher or not. The choice will be up to you.