Number of the day: 97548

Properties of the number 97548:

97548 = 2² × 3 × 11 × 739 is the 88168^th composite number and is not squarefree.
97548 has 4 distinct prime factors, 24 divisors, 15 antidivisors and 29520 totatives.
97548 has a semiprime digit sum 33 in base 10.
97548 = 24388² - 24386² = 8132² - 8126² = 2228² - 2206² = 772² - 706² is the difference of 2 nonnegative squares in 4 ways.
97548 is the sum of 2 positive triangular numbers.
97548 is the difference of 2 positive pentagonal numbers in 2 ways.
97548 = 2² + 38² + 310² is the sum of 3 positive squares.
97548² is the sum of 3 positive squares.
97548 is a proper divisor of 419⁶ - 1.
97548 is palindromic in (at least) the following bases: 63, and -55.
97548 in base 54 = XOO and consists of only the digits 'O' and 'X'.

The number 97548 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A047003: T(n,n-1), array T given by A047000.
A149915: Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (-1, 1, -1), (0, 0, 1), (1, 0, 0)}
A292346: The forgotten topological index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.1).