133017 has 8 divisors (see below), whose sum is σ = 179520. Its totient is φ = 87600.

The previous prime is 133013. The next prime is 133033. The reversal of 133017 is 710331.

133017 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 133017 - 2² = 133013 is a prime.

133017 is strictly pandigital in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 132987 and 133005.

It is not an unprimeable number, because it can be changed into a prime (133013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84 + ... + 522.

It is an arithmetic number, because the mean of its divisors is an integer number (22440).

2¹³³⁰¹⁷ is an apocalyptic number.

It is an amenable number.

133017 is a deficient number, since it is larger than the sum of its proper divisors (46503).

133017 is a wasteful number, since it uses less digits than its factorization.

133017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 133017 is about 364.7149571926. The cubic root of 133017 is about 51.0468619637.

Adding to 133017 its reverse (710331), we get a palindrome (843348).

The spelling of 133017 in words is "one hundred thirty-three thousand, seventeen".