66711 has 8 divisors (see below), whose sum is σ = 91504. Its totient is φ = 43200.

The previous prime is 66701. The next prime is 66713. The reversal of 66711 is 11766.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 66711 - 2¹⁰ = 65687 is a prime.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 190 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (11438).

2⁶⁶⁷¹¹ is an apocalyptic number.

66711 is a deficient number, since it is larger than the sum of its proper divisors (24793).

66711 is a wasteful number, since it uses less digits than its factorization.

66711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641.

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

The square root of 66711 is about 258.2847266100. The cubic root of 66711 is about 40.5569994551.

Subtracting from 66711 its reverse (11766), we obtain a palindrome (54945).

It can be divided in two parts, 667 and 11, that multiplied together give a palindrome (7337).

The spelling of 66711 in words is "sixty-six thousand, seven hundred eleven".