Number of the day: 8733

Properties of the number 8733:

8733 is a cyclic number.
8733 = 3 × 41 × 71 is a sphenic number and squarefree.
8733 has 3 distinct prime factors, 8 divisors, 13 antidivisors and 5600 totatives.
8733 has a semiprime digit sum 21 in base 10.
8733 has a Fibonacci digit sum 21 in base 10.
8733 has a triangular digit sum 21 in base 10.
Reversing the decimal digits of 8733 results in a sphenic number.
8733 = 4367² - 4366² = 1457² - 1454² = 127² - 86² = 97² - 26² is the difference of 2 nonnegative squares in 4 ways.
8733 is the sum of 2 positive triangular numbers.
8733 is the difference of 2 positive pentagonal numbers in 1 way.
8733 = 10² + 13² + 92² is the sum of 3 positive squares.
8733² = 1917² + 8520² is the sum of 2 positive squares in 1 way.
8733² is the sum of 3 positive squares.
8733 is a proper divisor of 877⁵ - 1.
8733 = '87' + '33' is the concatenation of 2 semiprime numbers.
8733 is palindromic in (at least) the following bases: 23, 43, 74, and -27.
8733 in base 23 = gbg and consists of only the digits 'b' and 'g'.
8733 in base 26 = cnn and consists of only the digits 'c' and 'n'.
8733 in base 42 = 4dd and consists of only the digits '4' and 'd'.
8733 in base 43 = 4V4 and consists of only the digits '4' and 'V'.

The number 8733 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005320: a(n) = 4*a(n-1) - a(n-2), with a(0) = 0, a(1) = 3.
A041016: Numerators of continued fraction convergents to sqrt(12).
A131039: Expansion of (1-x)*(2*x^2-4*x+1)/(1-2*x+5*x^2-4*x^3+x^4).
A143642: Numerators of principal and intermediate convergents to 3^(1/2).
A143643: Lower principal and intermediate convergents to 3^(1/2).
A194480: T(n,k) = number of ways to arrange k indistinguishable points on an n X n X n triangular grid so that no three points are in the same row or diagonal.
A212064: Number of (w,x,y,z) with all terms in {1,...,n} and w^2>=x*y*z.
A227418: Array A(n,k) with all numbers m such that 3*m^2 +- 3^k is a square and their corresponding square roots, read downward by diagonals.
A229362: a(n) = n for n = 1, 2, 3; for n > 3: a(n) = number of partitions of n into preceding terms.
A259593: Numerators of the other-side convergents to sqrt(3).