Number of the day: 4843

Properties of the number 4843:

4843 is a cyclic number.
4843 = 29 × 167 is semiprime and squarefree.
4843 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 4648 totatives.
4843 has a prime digit sum 19 in base 10.
4843 = 2422² - 2421² = 98² - 69² is the difference of 2 nonnegative squares in 2 ways.
4843 is the sum of 2 positive triangular numbers.
4843 is the difference of 2 positive pentagonal numbers in 1 way.
4843 = 1² + 9² + 69² is the sum of 3 positive squares.
4843² = 3340² + 3507² is the sum of 2 positive squares in 1 way.
4843² is the sum of 3 positive squares.
4843 is a proper divisor of 1669¹⁴ - 1.
4843 = '4' + '843' is the concatenation of 2 semiprime numbers.
4843 is an emirpimes in (at least) the following bases: 2, 7, 8, 9, 12, 14, 17, 19, 25, 35, 36, 37, 38, 44, 48, 50, 54, 58, 59, 60, 65, 68, 70, 71, 73, 74, 79, 82, 84, 85, 88, 90, 93, 95, 96, and 99.
4843 is palindromic in (at least) the following bases: 26, 40, 47, and -44.
4843 in base 25 = 7ii and consists of only the digits '7' and 'i'.
4843 in base 26 = 747 and consists of only the digits '4' and '7'.
4843 in base 39 = 377 and consists of only the digits '3' and '7'.
4843 in base 40 = 313 and consists of only the digits '1' and '3'.
4843 in base 46 = 2DD and consists of only the digits '2' and 'D'.
4843 in base 47 = 292 and consists of only the digits '2' and '9'.

The number 4843 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A047801: Number of different values of i^2+j^2+k^2+l^2 for i,j,k,l in [ 0,n ].
A060527: A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of 8 musical tones: 8/7 16/11 5/4 4/3 3/2 8/5 11/8 7/4.
A066831: Numbers n such that sigma(n) divides sigma(phi(n)).
A067382: Numbers n such that sigma(phi(n))/sigma(n) = 2.
A218042: Numbers n such that Q(sqrt(n)) has class number 10.
A264422: T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,1 2,2 1,0 -1,2 -2,-1 or -1,-1.
A324170: Numbers whose multiset multisystem (A302242) is crossing.
A324324: MM-numbers of crossing set partitions.
A326497: Number of maximal sum-free and product-free subsets of {1..n}.
A337562: Number of pairwise coprime strict compositions of n, where a singleton is always considered coprime.