Apple Pie Egg Rolls

Name: Apple Pie Egg Rolls
Prep time: 20 min
Cook time: 5 min
Total time: 25 min
Cuisine: American
Ingredients: 4 medium size green apples (peeled and diced); 2 tsps lemon juice; 1/3 c brown sugar; 1 tsp cinnamon; 1/2 tsp nutmeg; 2 tbsps unsalted butter; 1 tbsp cornstarch; 1/2 c water; 1 quart vegetetable oil; 1 package egg roll wrappers; 1/2 c granulated sugar; 1 tbsp cinnamon; 1 c powdered sugar; 1 - 1 1/2 tbsp (whole) milk; 1 tbsp flour; 2 tbsp water