65533 has 6 divisors (see below), whose sum is σ = 71582. Its totient is φ = 59640.

The previous prime is 65521. The next prime is 65537. The reversal of 65533 is 33556.

65533 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in only one way, i.e., 45369 + 20164 = 213^2 + 142^2 .

It is a de Polignac number, because none of the positive numbers 2^k-65533 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 4, base 10 and base 16.

It is a congruent number.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 888 + ... + 958.

2⁶⁵⁵³³ is an apocalyptic number.

It is an amenable number.

65533 is a deficient number, since it is larger than the sum of its proper divisors (6049).

65533 is an equidigital number, since it uses as much as digits as its factorization.

65533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 84 counting only the distinct ones).

The product of its digits is 1350, while the sum is 22.

The square root of 65533 is about 255.9941405579. The cubic root of 65533 is about 40.3168583914.

It can be divided in two parts, 6553 and 3, that added together give a palindrome (6556).

The spelling of 65533 in words is "sixty-five thousand, five hundred thirty-three".