6561
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Number
$6561$ (six thousand, five hundred and sixty-one) is:
- $3^8$
- The $3$rd positive integer after $1$, $625$ whose $4$th root equals the number of its divisors:
- $\map {\sigma_0} {6561} = 9 = \sqrt [4] {6561}$
- The $3$rd eighth power after $1$, $256$:
- $6561 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3$
- The $4$th power of $9$ after $(1)$, $9$, $81$, $729$:
- $6561 = 9^4$
- The $8$th power of $3$ after $(1)$, $3$, $9$, $27$, $81$, $243$, $729$, $2187$:
- $6561 = 3^8$
- The $9$th fourth power after $1$, $16$, $81$, $256$, $625$, $1296$, $2401$, $4096$:
- $6561 = 9 \times 9 \times 9 \times 9$
- The $81$st square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $5041$, $5184$, $5329$, $5476$, $5625$, $5776$, $5929$, $6084$, $6241$, $6400$
- $6561 = 81 \times 81$
Arithmetic Functions on $6561$
| \(\ds \map {\sigma_0} { 6561 }\) | \(=\) | \(\ds 9\) | $\sigma_0$ of $6561$ |
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