8281
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Number
$8281$ (eight thousand, two hundred and eighty-one) is:
- $7^2 \times 13^2$
- The $91$st square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $7396$, $7569$, $7744$, $7921$, $8100$:
- $8281 = 91 \times 91$
- The sum of the first $13$ cubes:
- $8281 = 1^3 + 2^3 + 3^3 + 4^3 + 5^3 + 6^3 + 7^3 + 8^3 + 9^3 + 10^3 + 11^3 + 12^3 + 13^3$
- The $1$st square number whose digits form $2$ consecutive integers, and the only one with $4$ digits:
- $\mathbf {82} \, \mathbf {81} = 91^2$
- The $1$st square number whose digits form $2$ consecutive decreasing integers:
- $\mathbf {82} \, \mathbf {81} = 91^2$
Also see
- Next: Squares whose Digits form Consecutive Integers
- Next: Squares whose Digits form Consecutive Decreasing Integers
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $8281$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $8281$