130517 has 2 divisors, whose sum is σ = 130518. Its totient is φ = 130516.

The previous prime is 130513. The next prime is 130523. The reversal of 130517 is 715031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130321 + 196 = 361^2 + 14^2 .

It is an emirp because it is prime and its reverse (715031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 130517 - 2² = 130513 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 130495 and 130504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65258 + 65259.

It is an arithmetic number, because the mean of its divisors is an integer number (65259).

2¹³⁰⁵¹⁷ is an apocalyptic number.

It is an amenable number.

130517 is a deficient number, since it is larger than the sum of its proper divisors (1).

130517 is an equidigital number, since it uses as much as digits as its factorization.

130517 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 130517 is about 361.2713661502. The cubic root of 130517 is about 50.7250356483.

Adding to 130517 its reverse (715031), we get a palindrome (845548).

The spelling of 130517 in words is "one hundred thirty thousand, five hundred seventeen".