Number of the day: 8613

Properties of the number 8613:

8613 = 3³ × 11 × 29 is the 7540^th composite number and is not squarefree.
8613 has 3 distinct prime factors, 16 divisors, 31 antidivisors and 5040 totatives.
8613 has a Fibonacci digit product 144 in base 10.
8613 = 4307² - 4306² = 1437² - 1434² = 483² - 474² = 397² - 386² = 173² - 146² = 163² - 134² = 147² - 114² = 93² - 6² is the difference of 2 nonnegative squares in 8 ways.
8613 is the difference of 2 positive pentagonal numbers in 1 way.
8613 = 7² + 10² + 92² is the sum of 3 positive squares.
8613² = 5940² + 6237² is the sum of 2 positive squares in 1 way.
8613² is the sum of 3 positive squares.
8613 is a proper divisor of 1567⁵ - 1.
8613 = '861' + '3' is the concatenation of 2 triangular numbers.
8613 is palindromic in (at least) the following bases: 25, 98, and -79.
8613 in base 22 = hhb and consists of only the digits 'b' and 'h'.
8613 in base 25 = djd and consists of only the digits 'd' and 'j'.
8613 in base 41 = 553 and consists of only the digits '3' and '5'.
8613 in base 53 = 33R and consists of only the digits '3' and 'R'.

The number 8613 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A067705: a(n) = 11*n^2 + 22*n.
A139273: a(n) = n*(8*n - 3).
A145068: Zero followed by partial sums of A059100, starting at n=1.
A152759: 3 times 9-gonal (or nonagonal) numbers: 3n(7n-5)/2.
A229917: Numbers of espalier polycubes of a given volume in dimension 4.
A230659: Number of n X 5 0..2 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).
A230661: T(n,k)=Number of nXk 0..2 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j)
A240486: Number of partitions of n containing m(1) as a part, where m denotes multiplicity.
A305342: Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 5 or 8 king-move adjacent elements, with upper left element zero.
A305532: Expansion of 1/(1 - x/(1 - 1*2*x/(1 - 2*3*x/(1 - 3*4*x/(1 - 4*5*x/(1 - ...)))))), a continued fraction.