Number of the day: 9935

Properties of the number 9935:

9935 = 5 × 1987 is semiprime and squarefree.
9935 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 7944 totatives.
9935 has an emirpimes digit sum 26 in base 10.
Reversing the decimal digits of 9935 results in a prime.
9935 = 4968² - 4967² = 996² - 991² is the difference of 2 nonnegative squares in 2 ways.
9935 is the difference of 2 positive pentagonal numbers in 2 ways.
9935 is not the sum of 3 positive squares.
9935² = 5961² + 7948² is the sum of 2 positive squares in 1 way.
9935² is the sum of 3 positive squares.
9935 is a divisor of 647¹² - 1.
9935 is an emirpimes in (at least) the following bases: 2, 3, 5, 6, 11, 19, 21, 23, 24, 27, 30, 33, 35, 36, 37, 40, 44, 49, 59, 62, 67, 77, 79, 80, 84, 89, 92, and 100.
9935 is palindromic in (at least) the following bases: 52, and -77.
9935 in base 3 = 111121222 and consists of only the digits '1' and '2'.
9935 in base 31 = aaf and consists of only the digits 'a' and 'f'.
9935 in base 44 = 55Z and consists of only the digits '5' and 'Z'.
9935 in base 51 = 3ff and consists of only the digits '3' and 'f'.
9935 in base 52 = 3Z3 and consists of only the digits '3' and 'Z'.
9935 in base 57 = 33H and consists of only the digits '3' and 'H'.

The number 9935 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A147357: Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 0110-0110-1111 pattern in any orientation.
A148616: 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, 0, 0), (-1, 0, 1), (0, -1, 0), (1, 0, 0), (1, 1, -1)}
A239852: Number of nX2 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4