135017 has 2 divisors, whose sum is σ = 135018. Its totient is φ = 135016.

The previous prime is 135007. The next prime is 135019. The reversal of 135017 is 710531.

135017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126736 + 8281 = 356^2 + 91^2 .

It is an emirp because it is prime and its reverse (710531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135017 - 2¹⁰ = 133993 is a prime.

Together with 135019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 134986 and 135004.

It is not a weakly prime, because it can be changed into another prime (135019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67508 + 67509.

It is an arithmetic number, because the mean of its divisors is an integer number (67509).

2¹³⁵⁰¹⁷ is an apocalyptic number.

It is an amenable number.

135017 is a deficient number, since it is larger than the sum of its proper divisors (1).

135017 is an equidigital number, since it uses as much as digits as its factorization.

135017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 135017 is about 367.4465947590. The cubic root of 135017 is about 51.3014316130.

Adding to 135017 its reverse (710531), we get a palindrome (845548).

The spelling of 135017 in words is "one hundred thirty-five thousand, seventeen".