133305 has 8 divisors (see below), whose sum is σ = 213312. Its totient is φ = 71088.

The previous prime is 133303. The next prime is 133319. The reversal of 133305 is 503331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 133305 - 2¹ = 133303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 8887 = 133305 / (1 + 3 + 3 + 3 + 0 + 5).

It is not an unprimeable number, because it can be changed into a prime (133303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4429 + ... + 4458.

It is an arithmetic number, because the mean of its divisors is an integer number (26664).

2¹³³³⁰⁵ is an apocalyptic number.

133305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133305 is a deficient number, since it is larger than the sum of its proper divisors (80007).

133305 is an equidigital number, since it uses as much as digits as its factorization.

133305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8895.

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 133305 is about 365.1095725943. The cubic root of 133305 is about 51.0836765531.

Adding to 133305 its reverse (503331), we get a palindrome (636636).

The spelling of 133305 in words is "one hundred thirty-three thousand, three hundred five".