395903 has 8 divisors (see below), whose sum is σ = 424320. Its totient is φ = 368280.

The previous prime is 395897. The next prime is 395909. The reversal of 395903 is 309593.

It is an interprime number because it is at equal distance from previous prime (395897) and next prime (395909).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 395903 - 2⁴ = 395887 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 395903.

It is not an unprimeable number, because it can be changed into a prime (395909) 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 7 ways as a sum of consecutive naturals, for example, 1118 + ... + 1428.

It is an arithmetic number, because the mean of its divisors is an integer number (53040).

2³⁹⁵⁹⁰³ is an apocalyptic number.

395903 is a deficient number, since it is larger than the sum of its proper divisors (28417).

395903 is a wasteful number, since it uses less digits than its factorization.

395903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397.

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

The square root of 395903 is about 629.2082326226. The cubic root of 395903 is about 73.4282082404.

It can be divided in two parts, 39590 and 3, that added together give a palindrome (39593).

The spelling of 395903 in words is "three hundred ninety-five thousand, nine hundred three".