Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

Question

I am a three digit number.
The product of the first and last digits is less than 49.
The sum of the first two digits is less than 16.
The difference of the first and last digits is greater than 0.
The sum of the digits is greater than 6.
The difference of the last two digits is equal to 2.
The sum of the last two digits is equal to 6.
The sum of the first and last digits is equal to 8.

Answer 1

123
5*5*5-2=123
11*11+2=123

Answer 2

Ans: 123
123= square of 11 + 2
123= cube of 5 - 3

Answer 3

123 (2 less a 125 - cube, 2 more than 121 -square)