Number of the day: 8322

Properties of the number 8322:

8322 = 2 × 3 × 19 × 73 is the 7277^th composite number and is squarefree.
8322 has 4 distinct prime factors, 16 divisors, 15 antidivisors and 2592 totatives.
8322 has an emirpimes digit sum 15 in base 10.
8322 has a triangular digit sum 15 in base 10.
Reversing the decimal digits of 8322 results in a sphenic number.
8322 is the sum of 2 positive triangular numbers.
8322 = 4² + 5² + 91² is the sum of 3 positive squares.
8322² = 5472² + 6270² is the sum of 2 positive squares in 1 way.
8322² is the sum of 3 positive squares.
8322 is a proper divisor of 1597³ - 1.
8322 is palindromic in (at least) the following bases: 4, 8, 36, 47, 64, -8, -59, -65, and -80.
8322 in base 4 = 2002002 and consists of only the digits '0' and '2'.
8322 in base 8 = 20202 and consists of only the digits '0' and '2'.
8322 in base 21 = ii6 and consists of only the digits '6' and 'i'.
8322 in base 27 = bb6 and consists of only the digits '6' and 'b'.
8322 in base 35 = 6rr and consists of only the digits '6' and 'r'.
8322 in base 36 = 6f6 and consists of only the digits '6' and 'f'.
8322 in base 45 = 44g and consists of only the digits '4' and 'g'.
8322 in base 46 = 3gg and consists of only the digits '3' and 'g'.
8322 in base 47 = 3a3 and consists of only the digits '3' and 'a'.

The number 8322 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A119873: 3*Volume of the root-n Waterman polyhedron as defined in A119870.
A152973: Records in A152968.
A153127: a(n) = (2*n + 1)*(5*n + 6).
A164016: 6 times centered hexagonal numbers: 18*n*(n+1) + 6.
A195904: Base 2 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,0,0,0,0.
A215703: A(n,k) is the n-th derivative of f_k at x=1, and f_k is the k-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways; square array A(n,k), n>=0, k>=1, read by antidiagonals.
A215704: n-th derivative of ((x^x)^x)^x at x=1.
A259382: Palindromic numbers in bases 4 and 8 written in base 10.
A288952: Number of relaxed compacted binary trees of right height at most one with empty sequences between branch nodes on level 0.
A301932: G.f. A(x) satisfies: A(x) = x*(1 + 3*A(x)*A'(x)) / (1 + A(x)*A'(x)).