we know that it needs to be a multiple of 7 from all of the other clues we know it can't be even (because two can't divide it) and the last digit need to be a one because when divided by 5 it needs one left over.

here is our list,

56,63,70,77,84,91

91 is the answer,

If you check all the other conditions you will see that they hold.

I hope this helps.

edit: 4|91 12(3)+3

so 91 is out.

Sorry.