Number of the day: 65596

Properties of the number 65596:

65596 = 2² × 23² × 31 is the 59044^th composite number and is not squarefree.
65596 has 3 distinct prime factors, 18 divisors, 21 antidivisors and 30360 totatives.
65596 has an emirp digit sum 31 in base 10.
65596 = 16400² - 16398² = 736² - 690² = 560² - 498² is the difference of 2 nonnegative squares in 3 ways.
65596 is the sum of 2 positive triangular numbers.
65596 is the difference of 2 positive pentagonal numbers in 3 ways.
65596 is not the sum of 3 positive squares.
65596² is the sum of 3 positive squares.
65596 is a proper divisor of 557²² - 1.
65596 = '6559' + '6' is the concatenation of 2 semiprime numbers.
65596 is palindromic in (at least) the following bases: 48, 52, and 56.
65596 in base 46 = V00 and consists of only the digits '0' and 'V'.
65596 in base 48 = SMS and consists of only the digits 'M' and 'S'.
65596 in base 52 = ODO and consists of only the digits 'D' and 'O'.
65596 in base 56 = KpK and consists of only the digits 'K' and 'p'.

The number 65596 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A114359: Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n then a(n) is the trace of M(n)^(-7).
A177269: a(n) = 1 + sum{k=1 to n} A177268(k)