133065 has 12 divisors (see below), whose sum is σ = 230724. Its totient is φ = 70944.

The previous prime is 133051. The next prime is 133069. The reversal of 133065 is 560331.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 97344 = 189^2 + 312^2 .

It is not a de Polignac number, because 133065 - 2⁵ = 133033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1434 + ... + 1523.

It is an arithmetic number, because the mean of its divisors is an integer number (19227).

2¹³³⁰⁶⁵ is an apocalyptic number.

133065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133065 is a deficient number, since it is larger than the sum of its proper divisors (97659).

133065 is a wasteful number, since it uses less digits than its factorization.

133065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2965 counting only the distinct ones).

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

The square root of 133065 is about 364.7807560714. The cubic root of 133065 is about 51.0530014163.

Adding to 133065 its reverse (560331), we get a palindrome (693396).

The spelling of 133065 in words is "one hundred thirty-three thousand, sixty-five".