## Godfrey Harold Hardy was born on this day 140 years ago.

## Happy *e*-Day!

### Properties of the number 272017:

272017 = 17 × 16001 is semiprime and squarefree.272017 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 256000 totatives.

272017 has a prime digit sum 19 in base 10.

272017 = 136009

^{2}- 136008

^{2}= 8009

^{2}- 7992

^{2}is the difference of 2 nonnegative squares in 2 ways.

272017 is the difference of 2 positive pentagonal numbers in 2 ways.

272017 = 224

^{2}+ 471

^{2}= 24

^{2}+ 521

^{2}is the sum of 2 positive squares in 2 ways.

272017 = 1

^{2}+ 204

^{2}+ 480

^{2}is the sum of 3 positive squares.

272017

^{2}= 171665

^{2}+ 211008

^{2}= 128008

^{2}+ 240015

^{2}= 25008

^{2}+ 270865

^{2}= 105400

^{2}+ 250767

^{2}is the sum of 2 positive squares in 4 ways.

272017

^{2}is the sum of 3 positive squares.

272017 is a divisor of 83

^{16}- 1.

272017 is an emirpimes in (at least) the following bases: 2, 6, 7, 9, 11, 12, 13, 15, 17, 19, 20, 22, 25, 26, 29, 31, 33, 35, 37, 39, 41, 43, 47, 48, 49, 51, 53, 55, 56, 59, 60, 62, 70, 71, 73, 74, 76, 78, 79, 81, 85, 87, 89, 91, 95, and 96.

272017 is palindromic in (at least) base -97.

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