Number of the day: 65918

Properties of the number 65918:

65918 = 2 × 23 × 1433 is a sphenic number and squarefree.
65918 has 3 distinct prime factors, 8 divisors, 33 antidivisors and 31504 totatives.
65918 has a prime digit sum 29 in base 10.
65918 is the sum of 2 positive triangular numbers.
65918 is the difference of 2 positive pentagonal numbers in 2 ways.
65918 = 1² + 54² + 251² is the sum of 3 positive squares.
65918² = 27232² + 60030² is the sum of 2 positive squares in 1 way.
65918² is the sum of 3 positive squares.
65918 is a proper divisor of 1091⁸⁸ - 1.
65918 is palindromic in (at least) the following bases: 22, and -51.
65918 in base 22 = 6446 and consists of only the digits '4' and '6'.
65918 in base 50 = QII and consists of only the digits 'I' and 'Q'.
65918 in base 60 = IIc and consists of only the digits 'I' and 'c'.

The number 65918 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A094552: Numbers n such that there are integers a < b with a^2+(a+1)^2+...+(n-1)^2 = (n+1)^2+(n+2)^2+...+b^2.
A159230: 1/8 the number of n X n arrays of squares of integers with every 2X2 subblock summing to 31
A261204: Number of binary strings of length n that avoid the pattern x x^R x (x^R is the reversal of x).