Import your Camera Roll into MAC/PC. (Make a folder/album from these photos to sync them back later)
Restore as new.
Setup your iCloud account. (Your Contacts/Calendars... will be back)
Setup your iMessage.
Setup your FaceTime.
Setup all other mail accounts.
Sync with iTunes. (You Music/Photos/books... will be back)
Now you have to rearrange manually your icons/folder in your iPhone.
Note that you will lose all wi-fi passwords. You have to re-enter them.
Also some app maybe lose their data (such a progress of a game).
If you have a POP mail account you will lose old mails from this account.
Sync again and backup your iPhone to iTunes/iCloud.
Or ignore all these recents numbers.