Online you can check citizenship status based on application.

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Once USCIS receives your Form N400 application it will send to you a application receipt notice. With that receipt number you can keep a track of your application online and know the application of citizenship status. From USCIS if you have an Application Receipt Number check the status of your case online.The 13-character Application Receipt Number can be found on application notices you have received from the USCIS. Do not enter dashes ("-") when you enter a receipt number. However, all other characters, including asterisks ("*"), can be included if listed on your notice as part of the Application Receipt Number.