65717 has 2 divisors, whose sum is σ = 65718. Its totient is φ = 65716.

The previous prime is 65713. The next prime is 65719. The reversal of 65717 is 71756.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 14641 = 226^2 + 121^2 .

It is a cyclic number.

It is not a de Polignac number, because 65717 - 2² = 65713 is a prime.

Together with 65719, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65717.

It is not a weakly prime, because it can be changed into another prime (65713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32858 + 32859.

It is an arithmetic number, because the mean of its divisors is an integer number (32859).

2⁶⁵⁷¹⁷ is an apocalyptic number.

It is an amenable number.

65717 is a deficient number, since it is larger than the sum of its proper divisors (1).

65717 is an equidigital number, since it uses as much as digits as its factorization.

65717 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1470, while the sum is 26.

The square root of 65717 is about 256.3532718730. The cubic root of 65717 is about 40.3545562935.

The spelling of 65717 in words is "sixty-five thousand, seven hundred seventeen".