133365 has 16 divisors (see below), whose sum is σ = 226368. Its totient is φ = 66816.

The previous prime is 133351. The next prime is 133379. The reversal of 133365 is 563331.

It is an interprime number because it is at equal distance from previous prime (133351) and next prime (133379).

It is not a de Polignac number, because 133365 - 2⁴ = 133349 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (14148).

2¹³³³⁶⁵ is an apocalyptic number.

133365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133365 is a deficient number, since it is larger than the sum of its proper divisors (93003).

133365 is a wasteful number, since it uses less digits than its factorization.

133365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548.

The product of its digits is 810, while the sum is 21.

The square root of 133365 is about 365.1917304650. The cubic root of 133365 is about 51.0913395837.

Adding to 133365 its sum of digits (21), we get a triangular number (133386 = T₅₁₆).

Adding to 133365 its reverse (563331), we get a palindrome (696696).

The spelling of 133365 in words is "one hundred thirty-three thousand, three hundred sixty-five".