Number of the day: 56303

Properties of the number 56303:

56303 is a cyclic number.
56303 = 13 × 61 × 71 is a sphenic number and squarefree.
56303 has 3 distinct prime factors, 8 divisors, 19 antidivisors and 50400 totatives.
56303 has an emirp digit sum 17 in base 10.
Reversing the decimal digits of 56303 results in a semiprime.
56303 = 28152² - 28151² = 2172² - 2159² = 492² - 431² = 432² - 361² is the difference of 2 nonnegative squares in 4 ways.
56303 is the difference of 2 positive pentagonal numbers in 4 ways.
56303 is not the sum of 3 positive squares.
56303² = 21655² + 51972² = 11928² + 55025² = 30672² + 47215² = 10153² + 55380² is the sum of 2 positive squares in 4 ways.
56303² is the sum of 3 positive squares.
56303 is a proper divisor of 853⁴ - 1.
56303 is palindromic in (at least) the following bases: 65, 81, and -59.

The number 56303 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A077060: Smallest k>A077059(n) such that A077059(n)^2+k^2 is a cube (=A077061(n)^3).
A079403: Let G(t) be the set of numbers between 2^(t-1) and 2^t-1, inclusive. There is a unique number a(t) in G(t) so that the denominator of the a(t)-th partial sum of the double harmonic series is divisible by smaller 2-powers than its neighbors.
A187257: Number of UH^jU's for some j>0, where U=(1,1) and H=(1,1), in all peakless Motzkin paths of length n (can be easily expressed using RNA secondary structure terminology).
A188312: Expansion of (1/(1-x^2))*c(x/((1-x)*(1-x^2))) where c(x) is the g.f. of A000108.
A323266: A323265(n)/2.