506417 has 2 divisors, whose sum is σ = 506418. Its totient is φ = 506416.

The previous prime is 506393. The next prime is 506423. The reversal of 506417 is 714605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 279841 + 226576 = 529^2 + 476^2 .

It is a cyclic number.

It is not a de Polignac number, because 506417 - 2¹² = 502321 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 506392 and 506401.

It is not a weakly prime, because it can be changed into another prime (500417) 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, 253208 + 253209.

It is an arithmetic number, because the mean of its divisors is an integer number (253209).

2⁵⁰⁶⁴¹⁷ is an apocalyptic number.

It is an amenable number.

506417 is a deficient number, since it is larger than the sum of its proper divisors (1).

506417 is an equidigital number, since it uses as much as digits as its factorization.

506417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 506417 is about 711.6298194989. The cubic root of 506417 is about 79.7081553786.

The spelling of 506417 in words is "five hundred six thousand, four hundred seventeen".