Number of the day: 2477

Carl Ludwig Siegel was born on this day 122 years ago.

Properties of the number 2477:

2477 is a cyclic number.
2477 is the 367^th prime.
2477 has 9 antidivisors and 2476 totatives.
2477 has an oblong digit sum 20 in base 10.
2477 = 4³ + 6³ + 13³ is the sum of 3 positive cubes in 1 way.
2477 = 1239² - 1238² is the difference of 2 nonnegative squares in 1 way.
2477 is the difference of 2 positive pentagonal numbers in 1 way.
2477 = 19² + 46² is the sum of 2 positive squares in 1 way.
2477 = 2² + 13² + 48² is the sum of 3 positive squares.
2477² = 1748² + 1755² is the sum of 2 positive squares in 1 way.
2477² is the sum of 3 positive squares.
2477 is a proper divisor of 19⁶¹⁹ - 1.
2477 is an emirp in (at least) the following bases: 3, 5, 15, 18, 19, 31, 36, 37, 39, 40, 42, 43, 46, 47, 49, 50, 53, 59, 60, 61, 62, 66, 67, 71, 77, 79, 83, 85, 91, 95, 96, 98, and 99.
2477 is palindromic in (at least) the following bases: 33, -14, -19, -24, and -45.
2477 in base 18 = 7bb and consists of only the digits '7' and 'b'.
2477 in base 32 = 2dd and consists of only the digits '2' and 'd'.
2477 in base 33 = 292 and consists of only the digits '2' and '9'.
2477 in base 49 = 11R and consists of only the digits '1' and 'R'.

The number 2477 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000230: Smallest prime p such that there is a gap of 2n between p and next prime.
A038580: Primes with indices that are primes with prime indices.
A049079: Primes prime(k) for which A049076(k) = 3.
A053001: Largest prime < n^2.
A054804: First term of strong prime quartets: prime(m+1)-prime(m) > prime(m+2)-prime(m+1) > prime(m+3)-prime(m+2).
A057190: Numbers n such that (24^n+1)/25 is a prime.
A075580: Smallest prime p(k) such that the number of distinct prime divisors of all composite numbers between p(k) and p(k+1) is n.
A232047: T(n,k)=Number of nXk 0..1 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors
A272285: Primes of the form 43*n^2 - 537*n + 2971 in order of increasing nonnegative values of n.
A299264: Partial sums of A299258.