Number of the day: 8323

Properties of the number 8323:

8323 = 7 × 29 × 41 is a sphenic number and squarefree.
8323 has 3 distinct prime factors, 8 divisors, 15 antidivisors and 6720 totatives.
8323 has a Fibonacci digit product 144 in base 10.
Reversing the decimal digits of 8323 results in a semiprime.
8323 = (17 × 18)/2 + … + (37 × 38)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
8323 = 4162² - 4161² = 598² - 591² = 158² - 129² = 122² - 81² is the difference of 2 nonnegative squares in 4 ways.
8323 is the sum of 2 positive triangular numbers.
8323 is the difference of 2 positive pentagonal numbers in 3 ways.
8323 = 9² + 41² + 81² is the sum of 3 positive squares.
8323² = 5740² + 6027² = 4277² + 7140² = 4620² + 6923² = 1827² + 8120² is the sum of 2 positive squares in 4 ways.
8323² is the sum of 3 positive squares.
8323 is a proper divisor of 811⁴ - 1.
8323 = '83' + '23' is the concatenation of 2 prime numbers.
8323 is palindromic in (at least) the following bases: 33, 52, 53, 73, -19, -36, -47, and -64.
8323 in base 13 = 3a33 and consists of only the digits '3' and 'a'.
8323 in base 19 = 1411 and consists of only the digits '1' and '4'.
8323 in base 21 = ii7 and consists of only the digits '7' and 'i'.
8323 in base 27 = bb7 and consists of only the digits '7' and 'b'.
8323 in base 33 = 7l7 and consists of only the digits '7' and 'l'.
8323 in base 45 = 44h and consists of only the digits '4' and 'h'.
8323 in base 51 = 3AA and consists of only the digits '3' and 'A'.
8323 in base 52 = 343 and consists of only the digits '3' and '4'.
8323 in base 53 = 2p2 and consists of only the digits '2' and 'p'.

The number 8323 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A018018: Powers of cube root of 15 rounded down.
A018019: Powers of cube root of 15 rounded to nearest integer.
A071398: Rounded total surface area of a regular icosahedron with edge length n.
A075110: Concatenation of n-th prime and n in decimal notation.
A121733: Numbers k such that tau(k) = tau(k+1) mod 691, where tau is Ramanujan's tau function A000594.
A147874: a(n) = (5*n-7)*(n-1).
A171155: For two strings of length n, this is the number of pairwise alignments that do not have an insertion adjacent to a deletion.
A265064: Coordination sequence for (2,5,5) tiling of hyperbolic plane.
A276600: Values of n such that n^2 + 6 is a triangular number (A000217).
A324315: Squarefree integers m > 1 such that if prime p divides m, then the sum of the base p digits of m is at least p.