395984 has 10 divisors (see below), whose sum is σ = 767250. Its totient is φ = 197984.

The previous prime is 395971. The next prime is 396001. The reversal of 395984 is 489593.

It can be written as a sum of positive squares in only one way, i.e., 394384 + 1600 = 628^2 + 40^2 .

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 395984.

It is an unprimeable number.

395984 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 as a sum of consecutive naturals, namely, 12359 + ... + 12390.

It is an arithmetic number, because the mean of its divisors is an integer number (76725).

2³⁹⁵⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

395984 is a deficient number, since it is larger than the sum of its proper divisors (371266).

395984 is a wasteful number, since it uses less digits than its factorization.

395984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24757 (or 24751 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 395984 is about 629.2725959392. The cubic root of 395984 is about 73.4332155943.

The spelling of 395984 in words is "three hundred ninety-five thousand, nine hundred eighty-four".