65133 has 6 divisors (see below), whose sum is σ = 94094. Its totient is φ = 43416.

The previous prime is 65129. The next prime is 65141. The reversal of 65133 is 33156.

It can be written as a sum of positive squares in only one way, i.e., 59049 + 6084 = 243^2 + 78^2 .

It is not a de Polignac number, because 65133 - 2² = 65129 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65123) 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, 3610 + ... + 3627.

2⁶⁵¹³³ is an apocalyptic number.

It is an amenable number.

65133 is a deficient number, since it is larger than the sum of its proper divisors (28961).

65133 is a wasteful number, since it uses less digits than its factorization.

65133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7243 (or 7240 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 65133 is about 255.2116768488. The cubic root of 65133 is about 40.2346623145.

Adding to 65133 its reverse (33156), we get a palindrome (98289).

The spelling of 65133 in words is "sixty-five thousand, one hundred thirty-three".