395873 has 2 divisors, whose sum is σ = 395874. Its totient is φ = 395872.

The previous prime is 395851. The next prime is 395887. The reversal of 395873 is 378593.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 388129 + 7744 = 623^2 + 88^2 .

It is an emirp because it is prime and its reverse (378593) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-395873 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 395873.

It is not a weakly prime, because it can be changed into another prime (395803) 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, 197936 + 197937.

It is an arithmetic number, because the mean of its divisors is an integer number (197937).

2³⁹⁵⁸⁷³ is an apocalyptic number.

It is an amenable number.

395873 is a deficient number, since it is larger than the sum of its proper divisors (1).

395873 is an equidigital number, since it uses as much as digits as its factorization.

395873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 35.

The square root of 395873 is about 629.1843926863. The cubic root of 395873 is about 73.4263534916.

The spelling of 395873 in words is "three hundred ninety-five thousand, eight hundred seventy-three".