Number of the day: 82797

Louis J. Mordell was born on this day 133 years ago.

Properties of the number 82797:

82797 = 3 × 11 × 13 × 193 is the 74704^th composite number and is squarefree.
82797 has 4 distinct prime factors, 16 divisors, 19 antidivisors and 46080 totatives.
82797 has a semiprime digit sum 33 in base 10.
82797 = 41399² - 41398² = 13801² - 13798² = 3769² - 3758² = 3191² - 3178² = 1271² - 1238² = 1081² - 1042² = 361² - 218² = 311² - 118² is the difference of 2 nonnegative squares in 8 ways.
82797 is the difference of 2 positive pentagonal numbers in 3 ways.
82797 = 5² + 46² + 284² is the sum of 3 positive squares.
82797² = 31845² + 76428² = 9900² + 82203² = 50853² + 65340² = 40755² + 72072² is the sum of 2 positive squares in 4 ways.
82797² is the sum of 3 positive squares.
82797 is a proper divisor of 857⁶ - 1.
82797 = '827' + '97' is the concatenation of 2 prime numbers.
82797 is palindromic in (at least) base 73.
82797 in base 44 = gXX and consists of only the digits 'X' and 'g'.