395832 has 16 divisors (see below), whose sum is σ = 989640. Its totient is φ = 131936.

The previous prime is 395803. The next prime is 395849. The reversal of 395832 is 238593.

It is a happy number.

It is a d-powerful number, because it can be written as 3 + 9² + 8⁴ + 5⁸ + 3 + 2¹⁰ .

It is a self number, because there is not a number n which added to its sum of digits gives 395832.

It is a congruent number.

It is an unprimeable number.

395832 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, 8223 + ... + 8270.

2³⁹⁵⁸³² is an apocalyptic number.

It is an amenable number.

395832 is an abundant number, since it is smaller than the sum of its proper divisors (593808).

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

395832 is a wasteful number, since it uses less digits than its factorization.

395832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16502 (or 16498 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 395832 is about 629.1518099791. The cubic root of 395832 is about 73.4238185166.

It can be divided in two parts, 3 and 95832, that multiplied together give a cube (287496 = 66³).

The spelling of 395832 in words is "three hundred ninety-five thousand, eight hundred thirty-two".