No, you need to eat 500 calories less than that.
If your body does burn 3227 calories to continue to mantain your BMI, then eating less means it will find the other calories in body fat and bur nthat instead.
Assuming of course that that figure is accurate, many factors can change that. You can eat less, or you can excercise more. Excercise more is better, as it increases metabolism, and can give you are larger loss than what is stated.