Number of the day: 7207

Properties of the number 7207:

7207 is a cyclic number.
7207 is the 920^th prime.
7207 has 17 antidivisors and 7206 totatives.
Reversing the decimal digits of 7207 results in an emirp.
7207 = 3604² - 3603² is the difference of 2 nonnegative squares in 1 way.
7207 is the difference of 2 positive pentagonal numbers in 1 way.
7207 is not the sum of 3 positive squares.
7207² is the sum of 3 positive squares.
7207 is a proper divisor of 11¹²⁰¹ - 1.
7207 is an emirp in (at least) the following bases: 5, 6, 10, 13, 17, 18, 19, 23, 31, 37, 39, 43, 44, 47, 51, 53, 59, 66, 67, 74, 76, 77, 78, 79, 84, 85, 89, and 97.
7207 is palindromic in (at least) the following bases: 32, and 55.
7207 in base 24 = cc7 and consists of only the digits '7' and 'c'.
7207 in base 31 = 7ff and consists of only the digits '7' and 'f'.
7207 in base 32 = 717 and consists of only the digits '1' and '7'.
7207 in base 54 = 2PP and consists of only the digits '2' and 'P'.
7207 in base 55 = 2L2 and consists of only the digits '2' and 'L'.

The number 7207 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A045713: Primes with first digit 7.
A062325: Numbers k for which phi(prime(k)) is a square.
A072481: a(n) = Sum_{k=1..n} Sum_{d=1..k} (k mod d).
A074340: a(1) = 5; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.
A078850: Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4,2,6]; short d-string notation of pattern = [426].
A103810: Primes from merging of 4 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2.
A134971: Canyon primes.
A142019: Primes congruent to 15 mod 31.
A162622: Triangle read by rows in which row n lists n+1 terms, starting with n, such that the difference between successive terms is equal to n^4 - 1.
A162624: Triangle read by rows in which row n lists n terms, starting with n^4 + n - 1, such that the difference between successive terms is equal to n^4 - 1 = A123865(n).