What time is 0837 in military time?

0837 (or 08:37) is 8:37 AM.

The other way round: 8:37 AM in military time is 0837, said “zero eight thirty-seven hours.”

Military time	0837 hours
24-hour clock	08:37
12-hour clock	8:37 AM
Said out loud	“zero eight thirty-seven hours”
Minutes after midnight	517
Share of the day gone	35.9%

How to convert 0837

The hour is 08, which is before 12, so it's a morning time: drop the leading zero, keep the minutes (37) and add AM. That gives 8:37 AM.