The Dutchman, who arrived from PSV in a deal worth around £22.3 million this summer, takes on the number previously worn by club legends including Bryan Robson, Eric Cantona, David Beckham and Cristiano Ronaldo.
Bastian Schweinsteiger will wear the same number 31 he used at Bayern Munich, with Marouane Fellaini taking on the No.27 shirt to allow the Germany captain his favoured shirt.
Meanwhile, fellow new additions Morgan Schneiderlin and Matteo Darmian will wear No.28 and No.36 respectively, the same shirts they were handed during United's pre-season tour of the USA.
There are notable changes elsewhere, with Luke Shaw taking up his preferred number 23 shirt, which he wore both as a Southampton player and at the 2014 World Cup with England. Meanwhile, striker James Wilson has swapped number 49 for 19.
David de Gea retains the No.1 shirt, despite his manager revealing on Friday that he will not start Saturday's clash with Tottenham at Old Trafford, with Sergio Romero - his possible replacement - being handed the No.20 shirt.
