Number of the day: 9331

Properties of the number 9331:

9331 = 7 × 31 × 43 is a sphenic number and squarefree.
9331 has 3 distinct prime factors, 8 divisors, 9 antidivisors and 7560 totatives.
Reversing the decimal digits of 9331 results in a semiprime.
9331 = 19² + … + 32² is the sum of at least 2 consecutive positive squares in 1 way.
9331 = 20³ + 11³ is the sum of 2 positive cubes in 1 way.
9331 = 4666² - 4665² = 670² - 663² = 166² - 135² = 130² - 87² is the difference of 2 nonnegative squares in 4 ways.
9331 is the sum of 2 positive triangular numbers.
9331 is the difference of 2 positive pentagonal numbers in 4 ways.
9331 = 9² + 41² + 87² is the sum of 3 positive squares.
9331² is the sum of 3 positive squares.
9331 is a proper divisor of 37⁶ - 1.
9331 is palindromic in (at least) the following bases: 6, 36, 53, -6, and -37.
9331 in base 6 = 111111 and consists of only the digit '1'.
9331 in base 35 = 7ll and consists of only the digits '7' and 'l'.
9331 in base 36 = 777 and consists of only the digit '7'.
9331 in base 52 = 3NN and consists of only the digits '3' and 'N'.
9331 in base 53 = 3H3 and consists of only the digits '3' and 'H'.

The number 9331 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A003464: a(n) = (6^n - 1)/5.
A005937: Pseudoprimes to base 6.
A022170: Triangle of Gaussian binomial coefficients [ n,k ] for q = 6.
A023037: a(n) = n^0+n^1+...+n^(n-1), or a(n) = (n^n-1)/(n-1) with a(0)=0; a(1)=1.
A025012: Central heptanomial coefficients: largest coefficient of (1+x+...+x^6)^n.
A053700: a(n) = 111111 in base n.
A057075: Table read by antidiagonals of T(n,k)=floor[n^n/k] with n,k >= 1.
A125118: Triangle read by rows: T(n,k) = value of the n-th repunit in base (k+1) representation, 1<=k<=n.
A201552: Square array read by diagonals: T(n,k) = number of arrays of n integers in -k..k with sum equal to 0.
A262508: Numbers that occur only once in A155043; positions of zeros in A262505, ones in A262507.