527

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Number

$527$ (five hundred and twenty-seven) is:

$17 \times 31$

The smallest number $n$ that needs $6$ numbers less than $n$ such that the product of their factorials is square

The $29$th number whose divisor sum is square:

$\map {\sigma_1} {527} = 576 = 24^2$

Arithmetic Functions on $527$

\(\ds \map \phi { 527 }\)

\(=\)

\(\ds 480\)

$\phi$ of $527$

\(\ds \map {\sigma_1} { 527 }\)

\(=\)

\(\ds 576\)

$\sigma_1$ of $527$

Also see

• Smallest n needing 6 Numbers less than n so that Product of Factorials is Square

• Previous  ... Next: Numbers whose Divisor Sum is Square

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $527$