509797 has 2 divisors, whose sum is σ = 509798. Its totient is φ = 509796.

The previous prime is 509783. The next prime is 509801. The reversal of 509797 is 797905.

It is a Cunningham number, because it is equal to 714²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 509796 + 1 = 714^2 + 1^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-509797 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254898 + 254899.

It is an arithmetic number, because the mean of its divisors is an integer number (254899).

2⁵⁰⁹⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

509797 is a deficient number, since it is larger than the sum of its proper divisors (1).

509797 is an equidigital number, since it uses as much as digits as its factorization.

509797 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19845, while the sum is 37.

The square root of 509797 is about 714.0007002798. Note that the first 3 decimals coincide. The cubic root of 509797 is about 79.8850954575.

The spelling of 509797 in words is "five hundred nine thousand, seven hundred ninety-seven".