17957 has 2 divisors, whose sum is σ = 17958. Its totient is φ = 17956.

The previous prime is 17939. The next prime is 17959. The reversal of 17957 is 75971.

17957 is nontrivially palindromic in base 9.

It is a Cunningham number, because it is equal to 134²+1.

17957 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17956 + 1 = 134^2 + 1^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-17957 is a prime.

Together with 17959, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (17959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8978 + 8979.

It is an arithmetic number, because the mean of its divisors is an integer number (8979).

2¹⁷⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

17957 is a deficient number, since it is larger than the sum of its proper divisors (1).

17957 is an equidigital number, since it uses as much as digits as its factorization.

17957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2205, while the sum is 29.

The square root of 17957 is about 134.0037312913. The cubic root of 17957 is about 26.1865284355.

The spelling of 17957 in words is "seventeen thousand, nine hundred fifty-seven".