### 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 = 2674

^{2}- 2673

^{2}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 = 15

^{2}+ 19

^{2}+ 69

^{2}is the sum of 3 positive squares.

5347

^{2}is the sum of 3 positive squares.

5347 is a divisor of 479

^{3}- 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.

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