June 27 falls in the twenty-sixth week of the year.
June 1 2010 will be on a Tuesday.
1991 June 1 was a Saturday.
June 1 1975 was on a Sunday.
1 June 1951 was a Friday.
June 1 2001 was a Friday.
June 1, 1953 was on a Monday.
June 1 2005 was a Wednesday.
June 1, 1945 was on a Friday.
June 1 2010 was a Tuesday.
June 1, 1973, was a Friday.
The day that is directly before June 1 is May 31; however if you are referring to the day of week as of this year's upcoming May 31, then the day is Thursday.