How check if string contain a particular number?

Question

I am trying to check if a string contains a particular number. Example:

 mywords<- c("harry","met","sally","subway 10","1800Movies","2345")

If i want to check if the strings have the number "1", I am expecting to have the following as result:

FALSE FALSE FALSE TRUE TRUE FALSE

I was trying something with:

grepl("\\1", mywords)

but it works only for letters. Thank you everyone for your help.