Divisible palindrome

What is the sum of the digits of the largest 4-digit palindromic number which is divisible by 15?
Age
14 to 16
Challenge level
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Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



Palindromic numbers read the same backwards and forwards, e.g. 7227 or 10101.

What is the sum of the digits of the largest 4-digit palindromic number which is divisible by 15? 

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.