Number of the day: 86315

Properties of the number 86315:

86315 = 5 × 61 × 283 is a sphenic number and squarefree.
86315 has 3 distinct prime factors, 8 divisors, 13 antidivisors and 67680 totatives.
86315 has a prime digit sum 23 in base 10.
86315 = 43158² - 43157² = 8634² - 8629² = 738² - 677² = 294² - 11² is the difference of 2 nonnegative squares in 4 ways.
86315 is the difference of 2 positive pentagonal numbers in 3 ways.
86315 = 5² + 21² + 293² is the sum of 3 positive squares.
86315² = 51789² + 69052² = 38488² + 77259² = 58581² + 63392² = 15565² + 84900² is the sum of 2 positive squares in 4 ways.
86315² is the sum of 3 positive squares.
86315 is a divisor of 1697⁴ - 1.
86315 is palindromic in (at least) the following bases: 67, 87, and -53.
86315 in base 20 = afff and consists of only the digits 'a' and 'f'.
86315 in base 52 = Vll and consists of only the digits 'V' and 'l'.

The number 86315 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A262016: a(n) = ( ( Sum_{k=1..n} 2^(prime(k)-1) ) mod n! ) / 2.