The Live Tile provides a useful at-a-glance reference for working out what day of the week a given day of the month falls on, but also provides a useful reminder for the current date and week number. That's a decent amount of information for a single Live Tile.
Tapping on the Live Tile drops you into the Live Calendar application, where a bigger version of the numeric month calendar is shown. Swiping left or right moves the displayed calendar a month backwards or forwards.
This app can create a month calendar live-tile on the start screen.
Usage is very simple, you can create a live-tile with one tap.
The contents of the live-tile calendar will automatically renew by a background task.
The background color of the calendar varies depending on the theme color. (black/white)
Language of the calendar depends on the region setting.
More on the Live Calendar app page.