395509 has 2 divisors, whose sum is σ = 395510. Its totient is φ = 395508.

The previous prime is 395491. The next prime is 395513. The reversal of 395509 is 905593.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 372100 + 23409 = 610^2 + 153^2 .

It is a cyclic number.

It is not a de Polignac number, because 395509 - 2¹⁵ = 362741 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 (395309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 197754 + 197755.

It is an arithmetic number, because the mean of its divisors is an integer number (197755).

2³⁹⁵⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

395509 is a deficient number, since it is larger than the sum of its proper divisors (1).

395509 is an equidigital number, since it uses as much as digits as its factorization.

395509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6075, while the sum is 31.

The square root of 395509 is about 628.8950627887. The cubic root of 395509 is about 73.4038417360.

The spelling of 395509 in words is "three hundred ninety-five thousand, five hundred nine".