# What's this number ? This number is a square number , a multiple of 3 and one more than a cube number . Thank you !!!!!!!!!!!

May 22, 2018

Well, you can probably brute force this...

Some square numbers are:

${x}^{2} = 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , 100$

• Of these, the only ones that are multiples of $3$ are $9$, $36$, and $81$. Their digits add up to a number divisible by $3$.
• $9$ is one more than ${2}^{3} = 8$, and neither $36$ nor $81$ fit this condition. $35$ is not a perfect cube and neither is $80$.

Therefore, $x = 9$ is your number.