395946 has 12 divisors (see below), whose sum is σ = 857922. Its totient is φ = 131976.

The previous prime is 395921. The next prime is 395953. The reversal of 395946 is 649593.

It can be written as a sum of positive squares in only one way, i.e., 314721 + 81225 = 561^2 + 285^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 395946.

It is an unprimeable number.

395946 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10981 + ... + 11016.

2³⁹⁵⁹⁴⁶ is an apocalyptic number.

395946 is an abundant number, since it is smaller than the sum of its proper divisors (461976).

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

395946 is a wasteful number, since it uses less digits than its factorization.

395946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22005 (or 22002 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 395946 is about 629.2424016228. The cubic root of 395946 is about 73.4308665504.

It can be divided in two parts, 3959 and 46, that added together give a triangular number (4005 = T₈₉).

The spelling of 395946 in words is "three hundred ninety-five thousand, nine hundred forty-six".