**975**= 3 x 5

^{2}x 13.

**975**is 1111001111 in base 2 (binary).

**975**is 33033 in base 4, 4303 in base 6, 1303 in base 9, and 303 in base 18.

**975**is a number that cannot be written as a sum of three squares.

**975**is the number of 11-ominoes that contain one hole.

**The Wright R-975 Whirlwind was a radial engine developed in the United States by Wright Aeronautical.**

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Other properties of the number 975

The number 975 can be represented as:

975=2^10-7^2

975=6^2+11^2+17^2+23^2=9^2+11^2+17^2+22^2

975=11^2+13^2+18^2+19^2

975 divides 49^6-1

As hypotenuse of the Pythagorean triples following:

975^2=108^2+969^2=240^2+945^2

975^2=273^2+936^2=375^2+900^2

975^2=495^2+840^2=585^2+780^2

975^2=612^2+759^2

As a leg of the following Pythagorean triples:

975^2+448^2=1073^2

975^2+2000^2=2225^2

975^2+2728^2=2897^2

975^2+52808^2=52817^2

975^2+475312^2=47313^2

975=Q(n)=Q(n+1) where Q is the Euler function of n=975 as

975=Q(975) = Q(975+1)=480, see A001274 and http://mathwoorld.wolfram.com/TotientFunction

The number 975 has finite representations as the sum of a square but the product of an integer plus the square of 5:

975=5^2+38*5^2=10^2+35*5^2=15^2+30*5^2

975=20^2+23*5^2=25^2+14*5^2=30^2+3*5^2

and also as opposed to a square and entirely a product of a square of 5 with infinite representations:

975=35^2-10*5^2=45^2-42*5^2

975=50^2-61*5^2=55^2-82*5^2

975=60^2-105*5^2=65^2-130*5^2

Rafael Parra Machio

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