66117 has 4 divisors (see below), whose sum is σ = 88160. Its totient is φ = 44076.

The previous prime is 66109. The next prime is 66137. The reversal of 66117 is 71166.

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.

It is not a de Polignac number, because 66117 - 2³ = 66109 is a prime.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 66093 and 66102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11017 + ... + 11022.

It is an arithmetic number, because the mean of its divisors is an integer number (22040).

2⁶⁶¹¹⁷ is an apocalyptic number.

It is an amenable number.

66117 is a deficient number, since it is larger than the sum of its proper divisors (22043).

66117 is a wasteful number, since it uses less digits than its factorization.

66117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22042.

The product of its digits is 252, while the sum is 21.

The square root of 66117 is about 257.1322616865. The cubic root of 66117 is about 40.4362661638.

The spelling of 66117 in words is "sixty-six thousand, one hundred seventeen".