13279 has 6 divisors (see below), whose sum is σ = 15504. Its totient is φ = 11340.

The previous prime is 13267. The next prime is 13291. The reversal of 13279 is 97231.

13279 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13267) and next prime (13291).

It is not a de Polignac number, because 13279 - 2⁷ = 13151 is a prime.

It is a Duffinian number.

13279 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87 + ... + 184.

It is an arithmetic number, because the mean of its divisors is an integer number (2584).

2¹³²⁷⁹ is an apocalyptic number.

13279 is a deficient number, since it is larger than the sum of its proper divisors (2225).

13279 is an equidigital number, since it uses as much as digits as its factorization.

13279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its digits is 378, while the sum is 22.

The square root of 13279 is about 115.2345434321. The cubic root of 13279 is about 23.6803685343.

It can be divided in two parts, 13 and 279, that added together give a palindrome (292).

The spelling of 13279 in words is "thirteen thousand, two hundred seventy-nine".