Number of the day: 16769

Properties of the number 16769:

16769 is a cyclic number.
16769 = 41 × 409 is semiprime and squarefree.
16769 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 16320 totatives.
16769 has a prime digit sum 29 in base 10.
Reversing the decimal digits of 16769 results in a sphenic number.
16769 = 8385² - 8384² = 225² - 184² is the difference of 2 nonnegative squares in 2 ways.
16769 is the sum of 2 positive triangular numbers.
16769 is the difference of 2 positive pentagonal numbers in 2 ways.
16769 = 88² + 95² = 65² + 112² is the sum of 2 positive squares in 2 ways.
16769 = 8² + 57² + 116² is the sum of 3 positive squares.
16769² = 8319² + 14560² = 3681² + 16360² = 1281² + 16720² = 4920² + 16031² is the sum of 2 positive squares in 4 ways.
16769² is the sum of 3 positive squares.
16769 is a proper divisor of 1637⁸ - 1.
16769 is an emirpimes in (at least) the following bases: 4, 5, 6, 9, 19, 22, 24, 28, 35, 41, 43, 49, 51, 53, 56, 57, 59, 65, 67, 68, 69, 73, 80, 82, 83, 85, 87, 89, 90, 91, 93, and 100.
16769 is palindromic in (at least) the following bases: 38, 81, -26, and -83.
16769 in base 30 = iit and consists of only the digits 'i' and 't'.
16769 in base 38 = BNB and consists of only the digits 'B' and 'N'.

The number 16769 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A003372: Numbers that are the sum of 5 positive 7th powers.
A010013: a(0) = 1, a(n) = 23*n^2 + 2 for n>0.
A024946: s(n+3)/2, where s is A024945.
A041115: Denominators of continued fraction convergents to sqrt(66).
A041495: Denominators of continued fraction convergents to sqrt(264).
A042139: Denominators of continued fraction convergents to sqrt(594).
A239358: Number of nX5 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 3
A255967: Odd numbers n that are neither of the form p + 2^k nor of the form p - 2^k with 2^k < n, and p prime.