Number of the day: 5347

Properties of the number 5347:

5347 is the 707^th prime.
5347 has 19 antidivisors and 5346 totatives.
5347 has a prime digit sum 19 in base 10.
5347 has an oblong digit product 420 in base 10.
Reversing the decimal digits of 5347 results in a semiprime.
5347 = 2674² - 2673² is the difference of 2 nonnegative squares in 1 way.
5347 is the sum of 2 positive triangular numbers.
5347 is the difference of 2 positive pentagonal numbers in 1 way.
5347 = 15² + 19² + 69² is the sum of 3 positive squares.
5347² is the sum of 3 positive squares.
5347 is a divisor of 479³ - 1.
5347 = '5' + '347' is the concatenation of 2 prime numbers.
5347 is an emirp in (at least) the following bases: 2, 16, 19, 20, 25, 26, 29, 31, 32, 33, 38, 41, 49, 52, 55, 56, 57, 58, 61, 62, 63, 64, 65, 70, 71, 72, 73, 75, 77, 82, 83, 85, 87, 89, 90, 91, and 95.
5347 is palindromic in (at least) the following bases: 54, 66, -21, -23, -39, -81, and -99.
5347 in base 20 = d77 and consists of only the digits '7' and 'd'.
5347 in base 22 = b11 and consists of only the digits '1' and 'b'.
5347 in base 36 = 44j and consists of only the digits '4' and 'j'.
5347 in base 51 = 22h and consists of only the digits '2' and 'h'.
5347 in base 53 = 1ll and consists of only the digits '1' and 'l'.
5347 in base 54 = 1j1 and consists of only the digits '1' and 'j'.

The number 5347 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A053253: Coefficients of the '3rd order' mock theta function omega(q)
A082077: Balanced primes of order two.
A088784: Primes formed by concatenating a prime with the preceding prime.
A096698: Balanced primes of order six.
A096706: Balanced primes (A090403) of index 2.
A108054: Integers n such that 10^n+49 is prime.
A120214: Start with 1013 and repeatedly reverse the digits and add 2 to get the next term.
A136064: Mother primes of order 5.
A255206: Primes p for which exactly three bases b with 1 < b < p exist such that p is a base b Wieferich prime.
A260553: Primes p such that p = q^2 + 2*r^2 where q and r are also primes.