Number of the day: 8163

Properties of the number 8163:

8163 = 3² × 907 is the 7138^th composite number and is not squarefree.
8163 has 2 distinct prime factors, 6 divisors, 11 antidivisors and 5436 totatives.
8163 has a Fibonacci digit product 144 in base 10.
8163 = 10³ + 11³ + 18³ is the sum of 3 positive cubes in 1 way.
8163 = 4082² - 4081² = 1362² - 1359² = 458² - 449² is the difference of 2 nonnegative squares in 3 ways.
8163 is the sum of 2 positive triangular numbers.
8163 is the difference of 2 positive pentagonal numbers in 1 way.
8163 = 5² + 47² + 77² is the sum of 3 positive squares.
8163² is the sum of 3 positive squares.
8163 is a proper divisor of 1291³ - 1.
8163 is palindromic in (at least) the following bases: 25, 41, 48, 51, 77, and -60.
8163 in base 25 = d1d and consists of only the digits '1' and 'd'.
8163 in base 41 = 4Z4 and consists of only the digits '4' and 'Z'.
8163 in base 47 = 3WW and consists of only the digits '3' and 'W'.
8163 in base 48 = 3Q3 and consists of only the digits '3' and 'Q'.
8163 in base 50 = 3DD and consists of only the digits '3' and 'D'.
8163 in base 51 = 373 and consists of only the digits '3' and '7'.

The number 8163 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A037095: "Sloping binary representation" of powers of 3 (A000244), slope = -1.
A046259: a(1) = 9; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.
A057967: Triangle T(n,k) of numbers of minimal 4-covers of an unlabeled n+4-set that cover k points of that set uniquely (k=4,..,n+4).
A073798: pi(n) is a power of 2, where pi(n) = A000720(n) is the number of primes <= n.
A164399: Number of binary strings of length n with no substrings equal to 0001 or 1010
A178521: The cost of all leaves in the Fibonacci tree of order n.
A206564: Fibonacci sequence beginning 14, 13.
A240726: Number of partitions p of n such that m(p) < m(c(p)), where m = maximal multiplicity of parts, and c = conjugate.
A243717: Number of inequivalent (mod D_4) ways to place 2 nonattacking knights on an n X n board.
A290523: Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 817", based on the 5-celled von Neumann neighborhood.