Math Problem of the week

Congratulations to last week's winners!

Braden Banks, Jamison Barrett, Dexter Bradford, Sara Chandler, Ethan Graham, Ty Reese, Callie Johnson, Molly Peterson, This week's problem is:

Car Mileage

Laree notices that the current mileage on her car is a multiple of 1000, and is a perfect cube.  She does some calculations and determines that she will have to drive another 4921 miles before the number of miles on her car is a perfect cube again.  What is Laree’s current mileage?

 

Good luck!