Just came across this.
The UK equivalent is 999, for which the square is 998,001 - which interestingly shares the same digit sum. I just wonder if this has a name and/or any literature? I note there are some applications of digit sum.
2026-03-31 07:57:21.1774943841
Where digit sum matches digit sum of the square - formal name?
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[Made from comment to answer at OP's request]
See OEIS sequence A058369 and Hare, Laishram & Stoll reference there.