17959 has 2 divisors, whose sum is σ = 17960. Its totient is φ = 17958.

The previous prime is 17957. The next prime is 17971. The reversal of 17959 is 95971.

It is a weak prime.

It is an emirp because it is prime and its reverse (95971) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 17959 - 2¹ = 17957 is a prime.

Together with 17957, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 17959.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (17957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8979 + 8980.

It is an arithmetic number, because the mean of its divisors is an integer number (8980).

2¹⁷⁹⁵⁹ is an apocalyptic number.

17959 is a deficient number, since it is larger than the sum of its proper divisors (1).

17959 is an equidigital number, since it uses as much as digits as its factorization.

17959 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2835, while the sum is 31.

The square root of 17959 is about 134.0111935623. The cubic root of 17959 is about 26.1875005933.

The spelling of 17959 in words is "seventeen thousand, nine hundred fifty-nine".