### Properties of the number 13367:

13367 is the 1586^{th}prime.

13367 has 17 antidivisors and 13366 totatives.

13367 has an oblong digit sum 20 in base 10.

13367 has a triangular digit product 378 in base 10.

Reversing the decimal digits of 13367 results in a semiprime.

13367 = 6684

^{2}- 6683

^{2}is the difference of 2 nonnegative squares in 1 way.

13367 is the sum of 2 positive triangular numbers.

13367 is the difference of 2 positive pentagonal numbers in 1 way.

13367 is not the sum of 3 positive squares.

13367

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

13367 is a divisor of 2

^{41}- 1.

13367 = '13' + '367' is the concatenation of 2 prime numbers.

13367 is an emirp in (at least) the following bases: 3, 4, 12, 13, 21, 28, 29, 38, 47, 53, 58, 64, 65, 69, 77, 83, and 99.

13367 is palindromic in (at least) the following bases: 9, 24, 51, 81, 82, -9, -36, -37, and -99.

13367 in base 24 = n4n and consists of only the digits '4' and 'n'.

13367 in base 36 = abb and consists of only the digits 'a' and 'b'.

13367 in base 38 = 99T and consists of only the digits '9' and 'T'.

13367 in base 50 = 5HH and consists of only the digits '5' and 'H'.

13367 in base 51 = 575 and consists of only the digits '5' and '7'.

### The number 13367 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A016047: Smallest prime factor of Mersenne numbers.

A037274: Home primes: for n >= 2, a(n) = the prime that is finally reached when you start with n, concatenate its prime factors (A037276) and repeat until a prime is reached (a(n) = -1 if no prime is ever reached).

A055469: Primes of the form k(k+1)/2+1 (i.e. central polygonal numbers, or one more than triangular numbers).

A059236: Primes p such that x^41 = 2 has no solution mod p.

A133961: Home primes whose homeliness is greater than 3.

A133963: Home primes whose homeliness is greater than 4.

A133965: Home primes whose homeliness is greater than 5.

A133967: Home primes whose homeliness is greater than 6.

A133969: Home primes whose homeliness is greater than 7.

A133970: Home primes whose homeliness is 8.

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