135317 has 8 divisors (see below), whose sum is σ = 166656. Its totient is φ = 106992.

The previous prime is 135301. The next prime is 135319. The reversal of 135317 is 713531.

It is a happy number.

135317 is nontrivially palindromic in base 3.

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 135317 - 2⁴ = 135301 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135317.

It is not an unprimeable number, because it can be changed into a prime (135319) 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, 653 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2¹³⁵³¹⁷ is an apocalyptic number.

It is an amenable number.

135317 is a deficient number, since it is larger than the sum of its proper divisors (31339).

135317 is a wasteful number, since it uses less digits than its factorization.

135317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507.

The product of its digits is 315, while the sum is 20.

The square root of 135317 is about 367.8545908372. The cubic root of 135317 is about 51.3393997815.

Adding to 135317 its reverse (713531), we get a palindrome (848848).

The spelling of 135317 in words is "one hundred thirty-five thousand, three hundred seventeen".