133317 has 6 divisors (see below), whose sum is σ = 192582. Its totient is φ = 88872.

The previous prime is 133303. The next prime is 133319. The reversal of 133317 is 713331.

133317 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 103041 + 30276 = 321^2 + 174^2 .

It is not a de Polignac number, because 133317 - 2⁶ = 133253 is a prime.

133317 is strictly pandigital in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 133317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7398 + ... + 7415.

It is an arithmetic number, because the mean of its divisors is an integer number (32097).

2¹³³³¹⁷ is an apocalyptic number.

It is an amenable number.

133317 is a deficient number, since it is larger than the sum of its proper divisors (59265).

133317 is a wasteful number, since it uses less digits than its factorization.

133317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14819 (or 14816 counting only the distinct ones).

The product of its digits is 189, while the sum is 18.

The square root of 133317 is about 365.1260056474. The cubic root of 133317 is about 51.0852093432.

Adding to 133317 its reverse (713331), we get a palindrome (846648).

The spelling of 133317 in words is "one hundred thirty-three thousand, three hundred seventeen".