13679 has 2 divisors, whose sum is σ = 13680. Its totient is φ = 13678.

The previous prime is 13669. The next prime is 13681. The reversal of 13679 is 97631.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13679 is a prime.

Together with 13681, it forms a pair of twin primes.

It is a Chen prime.

It is the 23-rd primeval number, because it sets a new record (106) in the number of distinct primes that is it possible to write using its digits.

It is a plaindrome in base 10, base 12 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13619) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6839 + 6840.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2¹³⁶⁷⁹ is an apocalyptic number.

13679 is a deficient number, since it is larger than the sum of its proper divisors (1).

13679 is an equidigital number, since it uses as much as digits as its factorization.

13679 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1134, while the sum is 26.

The square root of 13679 is about 116.9572571498. The cubic root of 13679 is about 23.9157928567.

The spelling of 13679 in words is "thirteen thousand, six hundred seventy-nine".