395395 has 32 divisors (see below), whose sum is σ = 645120. Its totient is φ = 224640.

The previous prime is 395383. The next prime is 395407. The reversal of 395395 is 593593.

It is a happy number.

395395 is nontrivially palindromic in base 2.

It is an interprime number because it is at equal distance from previous prime (395383) and next prime (395407).

It is not a de Polignac number, because 395395 - 2¹³ = 387203 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 395395.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4966 + ... + 5044.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2³⁹⁵³⁹⁵ is an apocalyptic number.

395395 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

395395 is a deficient number, since it is larger than the sum of its proper divisors (249725).

395395 is a wasteful number, since it uses less digits than its factorization.

395395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115.

The product of its digits is 18225, while the sum is 34.

The square root of 395395 is about 628.8044211041. The cubic root of 395395 is about 73.3967885109.

The spelling of 395395 in words is "three hundred ninety-five thousand, three hundred ninety-five".