65535 has 16 divisors (see below), whose sum is σ = 111456. Its totient is φ = 32768.

The previous prime is 65521. The next prime is 65537. The reversal of 65535 is 53556.

65535 is nontrivially palindromic in base 2, base 4, base 12 and base 16.

It is a Cunningham number, because it is equal to 2¹⁶-1.

It is a 15-Lehmer number, since φ(65535) divides (65535-1)¹⁵.

It is a cyclic number.

It is not a de Polignac number, because 65535 - 2⁴ = 65519 is a prime.

65535 is a nontrivial repdigit in base 2, base 4 and base 16.

It is a plaindrome in base 2, base 4, base 8 and base 16.

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2, base 4 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65535.

It is not an unprimeable number, because it can be changed into a prime (65537) by changing a digit.

It is a nontrivial repunit in base 2.

In principle, a polygon with 65535 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (6966).

2⁶⁵⁵³⁵ is an apocalyptic number.

65535 is a deficient number, since it is larger than the sum of its proper divisors (45921).

65535 is a wasteful number, since it uses less digits than its factorization.

65535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282.

The product of its digits is 2250, while the sum is 24.

The square root of 65535 is about 255.9980468675. The cubic root of 65535 is about 40.3172685303.

The spelling of 65535 in words is "sixty-five thousand, five hundred thirty-five".