509417 has 2 divisors, whose sum is σ = 509418. Its totient is φ = 509416.

The previous prime is 509413. The next prime is 509429. The reversal of 509417 is 714905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 456976 + 52441 = 676^2 + 229^2 .

It is a cyclic number.

It is not a de Polignac number, because 509417 - 2² = 509413 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509417.

It is not a weakly prime, because it can be changed into another prime (509413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254708 + 254709.

It is an arithmetic number, because the mean of its divisors is an integer number (254709).

2⁵⁰⁹⁴¹⁷ is an apocalyptic number.

It is an amenable number.

509417 is a deficient number, since it is larger than the sum of its proper divisors (1).

509417 is an equidigital number, since it uses as much as digits as its factorization.

509417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 509417 is about 713.7345444912. The cubic root of 509417 is about 79.8652418806.

The spelling of 509417 in words is "five hundred nine thousand, four hundred seventeen".