Number of the day: 272017

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 = 136009² - 136008² = 8009² - 7992² is the difference of 2 nonnegative squares in 2 ways.
272017 is the difference of 2 positive pentagonal numbers in 2 ways.
272017 = 224² + 471² = 24² + 521² is the sum of 2 positive squares in 2 ways.
272017 = 1² + 204² + 480² is the sum of 3 positive squares.
272017² = 171665² + 211008² = 128008² + 240015² = 25008² + 270865² = 105400² + 250767² is the sum of 2 positive squares in 4 ways.
272017² is the sum of 3 positive squares.
272017 is a divisor of 83¹⁶ - 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.