Number of the day: 8347

Properties of the number 8347:

8347 is a cyclic number.
8347 = 17 × 491 is semiprime and squarefree.
8347 has 2 distinct prime factors, 4 divisors, 25 antidivisors and 7840 totatives.
8347 has a semiprime digit sum 22 in base 10.
Reversing the decimal digits of 8347 results in an emirpimes.
8347 = 4174² - 4173² = 254² - 237² is the difference of 2 nonnegative squares in 2 ways.
8347 is the sum of 2 positive triangular numbers.
8347 is the difference of 2 positive pentagonal numbers in 2 ways.
8347 = 7² + 27² + 87² is the sum of 3 positive squares.
8347² = 3928² + 7365² is the sum of 2 positive squares in 1 way.
8347² is the sum of 3 positive squares.
8347 is a proper divisor of 101¹⁰ - 1.
8347 = '83' + '47' is the concatenation of 2 prime numbers.
8347 is an emirpimes in (at least) the following bases: 5, 6, 8, 9, 10, 21, 26, 28, 33, 34, 35, 37, 38, 43, 45, 50, 54, 55, 56, 57, 59, 60, 62, 66, 68, 70, 73, 79, 82, 84, 88, 90, 98, and 99.
8347 is palindromic in (at least) the following bases: 31, 78, -43, and -56.
8347 in base 7 = 33223 and consists of only the digits '2' and '3'.
8347 in base 31 = 8l8 and consists of only the digits '8' and 'l'.
8347 in base 34 = 77h and consists of only the digits '7' and 'h'.

The number 8347 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005676: Sum C(n-k,4*k), k = 0..n.
A007042: Diagonal of partition triangle A047812.
A009962: Coordination sequence for sigma-CrFe, Position Xa.
A031899: Lucky numbers with size of gaps equal to 16 (upper terms).
A035107: First differences give (essentially) A028242.
A128034: a(0)=a(1)=1. a(n) = the multiple of n which is > a(n-1)+a(n-2) and is <= a(n-1)+a(n-2)+n.
A240012: Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 3.
A268325: Number of length-(n+1) 0..6 arrays with new values introduced in sequential order, and with new repeated values introduced in sequential order, both starting with zero.
A272223: Partial sums of the number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 441", based on the 5-celled von Neumann neighborhood.
A279754: Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 197", based on the 5-celled von Neumann neighborhood.