65311 has 4 divisors (see below), whose sum is σ = 65824. Its totient is φ = 64800.

The previous prime is 65309. The next prime is 65323. The reversal of 65311 is 11356.

65311 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a 5-Lehmer number, since φ(65311) divides (65311-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 65311 - 2¹ = 65309 is a prime.

It is a deceptive number, since it divides R₆₅₃₁₀.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106 + ... + 376.

It is an arithmetic number, because the mean of its divisors is an integer number (16456).

2⁶⁵³¹¹ is an apocalyptic number.

65311 is a deficient number, since it is larger than the sum of its proper divisors (513).

65311 is a wasteful number, since it uses less digits than its factorization.

65311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512.

The product of its digits is 90, while the sum is 16.

The square root of 65311 is about 255.5601690405. The cubic root of 65311 is about 40.2712810061.

Adding to 65311 its reverse (11356), we get a palindrome (76667).

The spelling of 65311 in words is "sixty-five thousand, three hundred eleven".