Number of the day: 8277

Properties of the number 8277:

8277 = 3 × 31 × 89 is a sphenic number and squarefree.
8277 has 3 distinct prime factors, 8 divisors, 21 antidivisors and 5280 totatives.
8277 = 4139² - 4138² = 1381² - 1378² = 149² - 118² = 91² - 2² is the difference of 2 nonnegative squares in 4 ways.
8277 is the sum of 2 positive triangular numbers.
8277 is the difference of 2 positive pentagonal numbers in 1 way.
8277 = 16² + 25² + 86² is the sum of 3 positive squares.
8277² = 3627² + 7440² is the sum of 2 positive squares in 1 way.
8277² is the sum of 3 positive squares.
8277 is a proper divisor of 1301⁴ - 1.
8277 = '827' + '7' is the concatenation of 2 prime numbers.
8277 = '82' + '77' is the concatenation of 2 semiprime numbers.
8277 is palindromic in (at least) the following bases: 92, and -44.
8277 in base 14 = 3033 and consists of only the digits '0' and '3'.
8277 in base 52 = 339 and consists of only the digits '3' and '9'.

The number 8277 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A003185: a(n) = (4*n+1)(4*n+5).
A067598: Decimal encoding of the prime factorization of n is a multiple of n.
A078371: a(n) = (2*n+5)*(2*n+1).
A101049: Number of partitions of n into parts having at most two prime-factors.
A111473: a(1) = 3, a(n) = least k such that concatenation of n copies of k with all previous concatenation gives a prime.
A142600: Third trisection of A061037.
A209774: Triangle of coefficients of polynomials v(n,x) jointly generated with A209773; see the Formula section.
A251268: T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01
A269910: Number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 3", based on the 5-celled von Neumann neighborhood.
A273831: Number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 961", based on the 5-celled von Neumann neighborhood.