Dyson Micro 1.5kg filter and battery
A 971178-01 cartridge filter and a 965363-01 battery.
Every version in the "Also covers" list takes the same parts.
Cartridge filters
Batteries
Finding the model number
It's worth a look at the rating plate first, because names get reused across generations. Serial number on the bottom of the machine.
When to change them
Wash the filter at least once a month; leave to dry for at least 24 hours. (source)
Washable filters go back in bone dry or not at all. A damp one smells, and on some machines it can let the motor pull moisture through.
A battery doesn't die overnight. The run time on a full charge shrinks month by month, and once it won't get you round the house it's time for a new one.
If it cuts out with charge left, look for a blockage in the wand or filter before you blame the battery. A clogged machine can stop just like a flat one.
Quick answers
What cartridge filters does the Dyson Micro 1.5kg take?
971178-01, sold by Dyson as the Dyson Micro 1.5kg filter 971178-01.
Which batteries fit the Dyson Micro 1.5kg?
965363-01, sold by Dyson as the Dyson Micro 1.5kg battery 965363-01.