133005 has 8 divisors (see below), whose sum is σ = 212832. Its totient is φ = 70928.

The previous prime is 132989. The next prime is 133013. The reversal of 133005 is 500331.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 133005 - 2⁴ = 132989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4419 + ... + 4448.

It is an arithmetic number, because the mean of its divisors is an integer number (26604).

2¹³³⁰⁰⁵ is an apocalyptic number.

133005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133005 is a deficient number, since it is larger than the sum of its proper divisors (79827).

133005 is an equidigital number, since it uses as much as digits as its factorization.

133005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8875.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 133005 is about 364.6985056180. The cubic root of 133005 is about 51.0453268697.

Adding to 133005 its reverse (500331), we get a palindrome (633336).

The spelling of 133005 in words is "one hundred thirty-three thousand, five".