83717 has 2 divisors, whose sum is σ = 83718. Its totient is φ = 83716.

The previous prime is 83701. The next prime is 83719. The reversal of 83717 is 71738.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83521 + 196 = 289^2 + 14^2 .

It is a cyclic number.

It is not a de Polignac number, because 83717 - 2⁴ = 83701 is a prime.

Together with 83719, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83719) 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, 41858 + 41859.

It is an arithmetic number, because the mean of its divisors is an integer number (41859).

2⁸³⁷¹⁷ is an apocalyptic number.

It is an amenable number.

83717 is a deficient number, since it is larger than the sum of its proper divisors (1).

83717 is an equidigital number, since it uses as much as digits as its factorization.

83717 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1176, while the sum is 26.

The square root of 83717 is about 289.3389016361. The cubic root of 83717 is about 43.7459533672.

The spelling of 83717 in words is "eighty-three thousand, seven hundred seventeen".