### 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 = 14

^{2}+ … + 23

^{2}is the sum of at least 2 consecutive positive squares in 1 way.

3505 = 1753

^{2}- 1752

^{2}= 353

^{2}- 348

^{2}is the difference of 2 nonnegative squares in 2 ways.

3505 is the difference of 2 positive pentagonal numbers in 2 ways.

3505 = 36

^{2}+ 47

^{2}= 16

^{2}+ 57

^{2}is the sum of 2 positive squares in 2 ways.

3505 = 24

^{2}+ 25

^{2}+ 48

^{2}is the sum of 3 positive squares.

3505

^{2}= 2103

^{2}+ 2804

^{2}= 1824

^{2}+ 2993

^{2}= 913

^{2}+ 3384

^{2}= 1300

^{2}+ 3255

^{2}is the sum of 2 positive squares in 4 ways.

3505

^{2}is the sum of 3 positive squares.

3505 is a proper divisor of 911

^{5}- 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.

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