Ken's Puzzle of the Week

Bob's New House

Bob: I'm depressed.  I moved here because the house number is special.  The house numbers run consecutively from 1, and when you add up all the house numbers on my street, the sum is exactly the square of my house number.  But a construction company is tearing down all the houses at one end of the street to build stores, and a second company is building more houses at the other end!

Sally: Don't worry, Bob.  Your house number will be just as special when the construction is complete.

What is Bob's house number and how many houses are on the street?

Source: Original.

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