66717 has 16 divisors (see below), whose sum is σ = 113280. Its totient is φ = 38016.

The previous prime is 66713. The next prime is 66721. The reversal of 66717 is 71766.

It is an interprime number because it is at equal distance from previous prime (66713) and next prime (66721).

It is not a de Polignac number, because 66717 - 2² = 66713 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66713) 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 in 15 ways as a sum of consecutive naturals, for example, 13 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (7080).

2⁶⁶⁷¹⁷ is an apocalyptic number.

It is an amenable number.

66717 is a deficient number, since it is larger than the sum of its proper divisors (46563).

66717 is a wasteful number, since it uses less digits than its factorization.

66717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 66717 is about 258.2963414375. The cubic root of 66717 is about 40.5582153201.

The spelling of 66717 in words is "sixty-six thousand, seven hundred seventeen".