66917 has 4 divisors (see below), whose sum is σ = 68076. Its totient is φ = 65760.

The previous prime is 66889. The next prime is 66919. The reversal of 66917 is 71966.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 71966 = 2 ⋅35983.

It can be written as a sum of positive squares in 2 ways, for example, as 8836 + 58081 = 94^2 + 241^2 .

It is a cyclic number.

It is not a de Polignac number, because 66917 - 2⁶ = 66853 is a prime.

It is a plaindrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 66917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66919) 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 3 ways as a sum of consecutive naturals, for example, 488 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (17019).

2⁶⁶⁹¹⁷ is an apocalyptic number.

It is an amenable number.

66917 is a deficient number, since it is larger than the sum of its proper divisors (1159).

66917 is a wasteful number, since it uses less digits than its factorization.

66917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158.

The product of its digits is 2268, while the sum is 29.

The square root of 66917 is about 258.6832039387. The cubic root of 66917 is about 40.5987025073.

It can be divided in two parts, 669 and 17, that added together give a palindrome (686).

The spelling of 66917 in words is "sixty-six thousand, nine hundred seventeen".