Can an arduino remember information after being turned off (used as a counter)?

Question

Arduino

For example, arduino runs a loop where each loop adds one to some number. Can he keep this number in memory even after a complete power outage, then continue counting from the point of stop and not from the beginning.

Answer 1

void EEPROM.write(address, value)
Description:
Writes a byte to non-volatile memory
Parameters:
address: sequence number of the memory cell to write - from 0 to 511 (int)
value: byte to write - from 0 to 255 (byte)

Answer 2

Maybe.