Number of the day: 3505

Properties of the number 3505:

3505 = 5 × 701 is semiprime and squarefree.
3505 has 2 distinct prime factors, 4 divisors, 15 antidivisors and 2800 totatives.
3505 has an emirp digit sum 13 in base 10.
3505 has a Fibonacci digit sum 13 in base 10.
Reversing the decimal digits of 3505 results in an emirpimes.
3505 = 14² + … + 23² is the sum of at least 2 consecutive positive squares in 1 way.
3505 = 1753² - 1752² = 353² - 348² is the difference of 2 nonnegative squares in 2 ways.
3505 is the difference of 2 positive pentagonal numbers in 2 ways.
3505 = 36² + 47² = 16² + 57² is the sum of 2 positive squares in 2 ways.
3505 = 24² + 25² + 48² is the sum of 3 positive squares.
3505² = 2103² + 2804² = 1824² + 2993² = 913² + 3384² = 1300² + 3255² is the sum of 2 positive squares in 4 ways.
3505² is the sum of 3 positive squares.
3505 is a proper divisor of 911⁵ - 1.
3505 is an emirpimes in (at least) the following bases: 4, 7, 10, 12, 13, 15, 16, 17, 18, 23, 26, 27, 29, 31, 37, 38, 39, 42, 45, 50, 51, 57, 61, 62, 65, 66, 68, 69, 71, 73, 74, 75, 79, 84, 87, 88, 89, 91, 92, 93, and 100.
3505 is palindromic in (at least) the following bases: 19, 22, 25, 34, 48, -8, -28, and -73.
3505 in base 8 = 6661 and consists of only the digits '1' and '6'.
3505 in base 19 = 9d9 and consists of only the digits '9' and 'd'.
3505 in base 21 = 7jj and consists of only the digits '7' and 'j'.
3505 in base 22 = 757 and consists of only the digits '5' and '7'.
3505 in base 25 = 5f5 and consists of only the digits '5' and 'f'.
3505 in base 29 = 44p and consists of only the digits '4' and 'p'.
3505 in base 33 = 377 and consists of only the digits '3' and '7'.
3505 in base 34 = 313 and consists of only the digits '1' and '3'.
3505 in base 47 = 1RR and consists of only the digits '1' and 'R'.
3505 in base 48 = 1P1 and consists of only the digits '1' and 'P'.

The number 3505 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A006367: Number of binary vectors of length n+1 beginning with 0 and containing just 1 singleton.
A013979: Expansion of 1/(1 - x^2 - x^3 - x^4) = 1/((1 + x)*(1 - x - x^3)).
A026905: Partial sums of the partition numbers A000041.
A072573: Odd interprimes not divisible by 3.
A098237: Composite de Polignac numbers (A006285).
A107458: G.f.: (1-x^2-x^3)/( (1+x)(1-x-x^3) ).
A136392: 6n^2 - 10n + 5.
A182840: Toothpick sequence on hexagonal net.
A205477: L.g.f.: Sum_{n>=1} (x^n/n) * Product_{d|n} (1 + n*x^d/d).
A248112: Number T(n,k) of subsets of {1,...,n} containing n and having at least one set partition into k blocks with equal element sum; triangle T(n,k), n>=1, 1<=k<=floor((n+1)/2), read by rows.