Answer to the Math Game - Can you Find the Number?

Find a 5 digit number that:

• Has no two identical digits.
  
  0, 1, 2, 3, 4, 5, 6, 7, 8, 9
  
  
• Has two digits that are perfect squares.
  
  4, 9
  
  
• Has two digits that are prime.
  
  1, 2, 3, 5, and 7
  
  
• Has one digit that is neither prime, or a perfect square.
  
  0, 4 and 8
  
  
• That has the second digit six less than the fourth digit.
  
  2nd digit: 0, 1, 2 or 3
  4th digit: 6, 7, 8 or 9 respectively
  
  
• That has the last digit half of the third digit.
  
  3th digit: 2, 4, 6 or 8
  5st digit: 1, 2, 3, or 4 respecitvely
  
  
• That has the first digit three greater than the last digit.
  
  1st digit: 3, 4, 5, 6, 7, 8 or 9
  5th digit: 0, 1, 2, 3, 4, 5 or 6
  

Combining all of these clues gives us the following possible answers for this fun math brain tickler:

1st digit: 4, 5, 6 or 7
2nd digit: 1, 2 or 3
3rd digit: 2, 4, 6, or 8
4th digit: 6, 7, 8 or 9
5th digit: 1, 2, 3, or 4

Working through the posibilities gives us:

73894

Did you get it?