395916 has 12 divisors (see below), whose sum is σ = 923832. Its totient is φ = 131968.

The previous prime is 395909. The next prime is 395921. The reversal of 395916 is 619593.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

395916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 3 ways as a sum of consecutive naturals, for example, 16485 + ... + 16508.

It is an arithmetic number, because the mean of its divisors is an integer number (76986).

2³⁹⁵⁹¹⁶ is an apocalyptic number.

It is an amenable number.

395916 is an abundant number, since it is smaller than the sum of its proper divisors (527916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395916 is a wasteful number, since it uses less digits than its factorization.

395916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33000 (or 32998 counting only the distinct ones).

The product of its digits is 7290, while the sum is 33.

The square root of 395916 is about 629.2185629811. The cubic root of 395916 is about 73.4290119358.

The spelling of 395916 in words is "three hundred ninety-five thousand, nine hundred sixteen".