2025
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Number
$2025$ (two thousand and twenty-five) is:
- $3^4 \times 5^2$
- The $45$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $1296$, $1369$, $1444$, $1521$, $1600$, $1681$, $1764$, $1849$, $1936$:
- $2025 = 45 \times 45$
- Adding $1$ to each of its digits yields another square:
- $2025 + 1111 = 3136 = 56^2$
- The roots of those squares also differ by a repunit:
- $45 + 11 = 56$
Also see
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $2025$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $2025$