395309 has 2 divisors, whose sum is σ = 395310. Its totient is φ = 395308.

The previous prime is 395303. The next prime is 395321. The reversal of 395309 is 903593.

395309 = 362² + 363² + 364².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 299209 + 96100 = 547^2 + 310^2 .

It is a cyclic number.

It is not a de Polignac number, because 395309 - 2⁴ = 395293 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (395303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 197654 + 197655.

It is an arithmetic number, because the mean of its divisors is an integer number (197655).

2³⁹⁵³⁰⁹ is an apocalyptic number.

It is an amenable number.

395309 is a deficient number, since it is larger than the sum of its proper divisors (1).

395309 is an equidigital number, since it uses as much as digits as its factorization.

395309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3645, while the sum is 29.

The square root of 395309 is about 628.7360336421. The cubic root of 395309 is about 73.3914667596.

The spelling of 395309 in words is "three hundred ninety-five thousand, three hundred nine".