13759 has 2 divisors, whose sum is σ = 13760. Its totient is φ = 13758.

The previous prime is 13757. The next prime is 13763. The reversal of 13759 is 95731.

It is a weak prime.

It is an emirp because it is prime and its reverse (95731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13759 - 2¹ = 13757 is a prime.

Together with 13757, it forms a pair of twin primes.

13759 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13751) 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 as a sum of consecutive naturals, namely, 6879 + 6880.

It is an arithmetic number, because the mean of its divisors is an integer number (6880).

2¹³⁷⁵⁹ is an apocalyptic number.

13759 is a deficient number, since it is larger than the sum of its proper divisors (1).

13759 is an equidigital number, since it uses as much as digits as its factorization.

13759 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 945, while the sum is 25.

The square root of 13759 is about 117.2987638469. The cubic root of 13759 is about 23.9623251488.

It can be divided in two parts, 137 and 59, that added together give a square (196 = 14²).

The spelling of 13759 in words is "thirteen thousand, seven hundred fifty-nine".