Number of the day: 2479

Properties of the number 2479:

2479 is a cyclic number.
2479 = 37 × 67 is semiprime and squarefree.
2479 has 2 distinct prime factors, 4 divisors, 13 antidivisors and 2376 totatives.
2479 has a semiprime digit sum 22 in base 10.
2479 has sum of divisors equal to 2584 which is a Fibonacci number.
Reversing the decimal digits of 2479 results in an emirpimes.
2479 = 1240² - 1239² = 52² - 15² is the difference of 2 nonnegative squares in 2 ways.
2479 is the difference of 2 positive pentagonal numbers in 2 ways.
2479 is not the sum of 3 positive squares.
2479² = 804² + 2345² is the sum of 2 positive squares in 1 way.
2479² is the sum of 3 positive squares.
2479 is a proper divisor of 269³ - 1.
2479 = '2' + '479' is the concatenation of 2 prime numbers.
2479 = '247' + '9' is the concatenation of 2 semiprime numbers.
2479 is an emirpimes in (at least) the following bases: 3, 4, 5, 9, 10, 14, 16, 17, 18, 20, 25, 27, 29, 34, 36, 37, 38, 39, 45, 49, 53, 55, 57, 61, 64, 65, 73, 74, 83, 84, 85, 86, 93, 96, 97, and 98.
2479 is palindromic in (at least) the following bases: 6, 42, 66, -25, and -59.
2479 in base 24 = 477 and consists of only the digits '4' and '7'.
2479 in base 41 = 1JJ and consists of only the digits '1' and 'J'.
2479 in base 42 = 1H1 and consists of only the digits '1' and 'H'.
2479 in base 49 = 11T and consists of only the digits '1' and 'T'.

The number 2479 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A097546: Denominators of "Farey fraction" approximations to Pi.
A113745: Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 8 multiples of n-1, n-2, ..., 1, for n>=1.
A116522: a(0)=1, a(1)=1, a(n)=7a(n/2) for n=2,4,6,..., a(n)=6a((n-1)/2)+a((n+1)/2) for n=3,5,7,....
A129374: G.f. satisfies: A(x) = 1/(1-x) * A(x^2)*A(x^3)*A(x^4)*...*A(x^n)*...
A138993: a(n) = Frobenius number for 7 successive primes = F[p(n),p(n+1),p(n+2),p(n+3),p(n+4),p(n+5),p(n+6)].
A143938: The Wiener index of a benzenoid consisting of a linear chain of n hexagons.
A219051: Numbers n such that 3^n - 34 is prime.
A257751: Quasi-Carmichael numbers to exactly one base.
A257938: Least positive integer k such that prime(k*n) - 1 = (prime(i*n)-1)*(prime(j*n)-1) for some integers 0 < i < j < k.
A272412: Numbers n such that sigma(n) is a Fibonacci number.