66017 has 4 divisors (see below), whose sum is σ = 75456. Its totient is φ = 56580.

The previous prime is 65993. The next prime is 66029. The reversal of 66017 is 71066.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 71066 = 2 ⋅35533.

It is a cyclic number.

It is not a de Polignac number, because 66017 - 2⁸ = 65761 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 66017.

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 66017.

It is not an unprimeable number, because it can be changed into a prime (66037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4709 + ... + 4722.

It is an arithmetic number, because the mean of its divisors is an integer number (18864).

2⁶⁶⁰¹⁷ is an apocalyptic number.

It is an amenable number.

66017 is a deficient number, since it is larger than the sum of its proper divisors (9439).

66017 is an equidigital number, since it uses as much as digits as its factorization.

66017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9438.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 66017 is about 256.9377356482. The cubic root of 66017 is about 40.4158696599.

The spelling of 66017 in words is "sixty-six thousand, seventeen".