517417 has 2 divisors, whose sum is σ = 517418. Its totient is φ = 517416.

The previous prime is 517411. The next prime is 517457. The reversal of 517417 is 714715.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 512656 + 4761 = 716^2 + 69^2 .

It is a cyclic number.

It is not a de Polignac number, because 517417 - 2⁷ = 517289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 517391 and 517400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (517411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258708 + 258709.

It is an arithmetic number, because the mean of its divisors is an integer number (258709).

2⁵¹⁷⁴¹⁷ is an apocalyptic number.

It is an amenable number.

517417 is a deficient number, since it is larger than the sum of its proper divisors (1).

517417 is an equidigital number, since it uses as much as digits as its factorization.

517417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 980, while the sum is 25.

The square root of 517417 is about 719.3170371957. The cubic root of 517417 is about 80.2811462193.

The spelling of 517417 in words is "five hundred seventeen thousand, four hundred seventeen".