Neither. Odd and even refer to integers.
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There is no such number. If the four digits are even, the entire number is even, not odd.
four consecutive odd, whole numbers cannot have an average of 549. four odd numbers added together would be an even number. an even number divided by another even number (in this case, four) will only yield an even number.
All numbers ending in four are even.
All numbers ending in four are even.
The smallest four digit number is 1000. It is even so 1001 is the smallest four digit number that is odd.