66311 has 4 divisors (see below), whose sum is σ = 75792. Its totient is φ = 56832.

The previous prime is 66301. The next prime is 66337. The reversal of 66311 is 11366.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 11366 = 2 ⋅5683.

It is a cyclic number.

It is not a de Polignac number, because 66311 - 2¹⁰ = 65287 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 66311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66301) 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, 4730 + ... + 4743.

It is an arithmetic number, because the mean of its divisors is an integer number (18948).

2⁶⁶³¹¹ is an apocalyptic number.

66311 is a deficient number, since it is larger than the sum of its proper divisors (9481).

66311 is an equidigital number, since it uses as much as digits as its factorization.

66311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9480.

The product of its digits is 108, while the sum is 17.

The square root of 66311 is about 257.5092231358. The cubic root of 66311 is about 40.4757768069.

Adding to 66311 its reverse (11366), we get a palindrome (77677).

Subtracting from 66311 its reverse (11366), we obtain a palindrome (54945).

The spelling of 66311 in words is "sixty-six thousand, three hundred eleven".