Song titles composed only of numbers

[Stumpy Pepys]

Squeeze – 8535937
City Boy – 5705
Paul Hardcastle – 19

[Duncan Gardner]

One and one is one

[Stumpy Pepys]

One and one is one

Disqualified for containing words.

Manfred Mann – 54321

[Sits]

Does U2’s One count (being as it’s a word not a digit)?

[Jah Womble]

586 - New Order
5-6-7-8 - Steps
88-92-96 - Six By Seven

...and if U2's effort 'counts':

One - Busta Rhymes
One - Mica Paris
One - Metallica
Three - The Wedding Present
Six - Mansun
Seven - David Bowie
Nine - Forward Russia
7Teen - The Regents

[slackster]

Ladytron - 17

(‘when you’re 21, you’re no fun’, indeed)

[Stumpy Pepys]

Buzzcocks – Sixteen

[Cal Alamein]

905 - The Who
5:15 - The Who (semicolon ok?)
666 - Anvil

Lotta year songs

1921 - The Who
1916 - Motorhead
1969 / 1970 - Stooges
1977 - Clash
1984 - David Bowie

[Kevin S]

12:51 (The Strokes)
303 (Kula Shaker)

I suppose these two don't count because of the operators in the first, and then there is technically a solidus and name in the second.

2 + 2 = 5 (Radiohead)
867-5309 (Tommy Tutone)

[longeared]

22 - Taylor Swift

[tee rex]

7Teen - The Regents

That was one of the first to pop into my head but I couldn't have told you who it was by. Stuck in my head though, on account I was 17.

Actually when we're done with suggestions 17 will probably be number 1, as it were.

[Jah Womble]

Lotta year songs

1921 - The Who
1916 - Motorhead
1969 / 1970 - Stooges
1977 - Clash
1984 - David Bowie

1963 - New Order
1999 - Prince

[multipleman78]

7 is also a Prince entry in this category.

[tee rex]

22 - Taylor Swift

And Lily Allen.

Hi-jack alert: is there an age that still has no song? Is there a gap in the market for 53 year olds?

[Toby Gymshorts]

I suppose these two don't count because of the operators in the first

Probably the same with Forty Six & 2 by Tool.

[longeared]

Some more year songs:

1980 - Estelle
1985 - Bowling For Soup
2002 - Anne Marie

[Furtho]

6060842 - The B52s

[nmrfox]

1979 - The Smashing Pumpkins

[Snake Plissken]

1959 - Sisters of Mercy

[Wouter D]

One apostrophe away from the mark:
Queen - '39
Franz Ferdinand - 40'

[hobbes]

Sisters of Mercy - 1959

[hobbes]

Taylor Swift - Fifteen
Childish Gambino - 3005
LAdy Gaga - 911

[Third rate Leszno]

66 - Afghan Whigs

[Nurse Duckett]

System of a Down - 36

(On "Steal This Album")

[danielmak]

If we extend to albums: Wire, 154

But to meet the thread's topic:

Feist, 1234

The Stooges, 1969 (to repeat Cal's post but to add the video)