676

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Number

$676$ (six hundred and seventy-six) is:

$2^2 \times 13^2$

The $1$st palindromic square with a non-palindromic square root:

$676 = 26^2$

The larger of the $3$rd pair of consecutive powerful numbers:

$675 = 3^3 \times 5^2$, $676 = 2^2 \times 13^2$

The only known such pair whose second element is even.

The $15$th square after $1$, $4$, $9$, $16$, $25$, $36$, $49$, $64$, $81$, $121$, $144$, $225$, $441$, $484$ which has no more than $2$ distinct digits and does not end in $0$:

$676 = 26^2$

The $22$nd positive integer which cannot be expressed as the sum of a square and a prime:

$1$, $10$, $25$, $34$, $58$, $64$, $85$, $91$, $121$, $130$, $169$, $196$, $214$, $226$, $289$, $324$, $370$, $400$, $526$, $529$, $625$, $676$, $\ldots$

The $26$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $361$, $400$, $441$, $484$, $529$, $576$, $625$:

$676 = 26 \times 26$

The $45$th powerful number after $1$, $4$, $8$, $9$, $16$, $25$, $\ldots$, $400$, $432$, $441$, $484$, $500$, $512$, $529$, $576$, $625$, $648$, $675$:

$676 = 2^2 \times 13^2$