Number of the day: 7793

Properties of the number 7793:

7793 is a cyclic number.
7793 is the 987^th prime.
7793 has 13 antidivisors and 7792 totatives.
7793 has an emirpimes digit sum 26 in base 10.
Reversing the decimal digits of 7793 results in a semiprime.
7793 = 3897² - 3896² is the difference of 2 nonnegative squares in 1 way.
7793 is the difference of 2 positive pentagonal numbers in 1 way.
7793 = 7² + 88² is the sum of 2 positive squares in 1 way.
7793 = 6² + 19² + 86² is the sum of 3 positive squares.
7793² = 1232² + 7695² is the sum of 2 positive squares in 1 way.
7793² is the sum of 3 positive squares.
7793 is a proper divisor of 43⁴⁸⁷ - 1.
7793 = '77' + '93' is the concatenation of 2 semiprime numbers.
7793 is an emirp in (at least) the following bases: 3, 4, 5, 11, 16, 20, 21, 23, 24, 27, 31, 41, 49, 55, 59, 61, 63, 64, 67, 70, 80, 83, 84, 85, 86, 95, 98, and 100.
7793 is palindromic in (at least) the following bases: 28, 53, -34, and -44.
7793 in base 28 = 9q9 and consists of only the digits '9' and 'q'.
7793 in base 33 = 755 and consists of only the digits '5' and '7'.
7793 in base 52 = 2jj and consists of only the digits '2' and 'j'.
7793 in base 53 = 2f2 and consists of only the digits '2' and 'f'.

The number 7793 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001134: Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.
A051026: Number of primitive subsequences of {1, 2, ..., n}.
A057622: Initial prime in first sequence of n consecutive primes congruent to 5 modulo 6.
A068652: Numbers such that every cyclic permutation is a prime.
A128337: Numbers k such that (7^k + 5^k)/12 is prime.
A142200: Primes congruent to 3 mod 41.
A154577: Primes of the form 2n^2+14n+5.
A293663: Circular primes that are not repunits.
A316652: Number of series-reduced rooted trees whose leaves span an initial interval of positive integers with multiplicities an integer partition of n.
A317716: Square array A(n, k), read by antidiagonals downwards: k-th prime p such that cyclic digit shifts produce exactly n different primes.