509717 has 4 divisors (see below), whose sum is σ = 548940. Its totient is φ = 470496.

The previous prime is 509699. The next prime is 509723. The reversal of 509717 is 717905.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 303601 + 206116 = 551^2 + 454^2 .

It is not a de Polignac number, because 509717 - 2⁶ = 509653 is a prime.

It is a super-2 number, since 2×509717² = 519622840178, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 509717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509737) 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 in 3 ways as a sum of consecutive naturals, for example, 19592 + ... + 19617.

It is an arithmetic number, because the mean of its divisors is an integer number (137235).

2⁵⁰⁹⁷¹⁷ is an apocalyptic number.

It is an amenable number.

509717 is a deficient number, since it is larger than the sum of its proper divisors (39223).

509717 is a wasteful number, since it uses less digits than its factorization.

509717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39222.

The product of its (nonzero) digits is 2205, while the sum is 29.

The square root of 509717 is about 713.9446757277. The cubic root of 509717 is about 79.8809165772.

The spelling of 509717 in words is "five hundred nine thousand, seven hundred seventeen".