393832 has 16 divisors (see below), whose sum is σ = 777600. Its totient is φ = 186480.

The previous prime is 393797. The next prime is 393847. The reversal of 393832 is 238393.

It is a happy number.

It is a d-powerful number, because it can be written as 3⁸ + 9² + 8⁵ + 3¹¹ + 3¹¹ + 2⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 393832.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1144 + ... + 1447.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2³⁹³⁸³² is an apocalyptic number.

It is an amenable number.

393832 is a deficient number, since it is larger than the sum of its proper divisors (383768).

393832 is a wasteful number, since it uses less digits than its factorization.

393832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2612 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 393832 is about 627.5603556631. The cubic root of 393832 is about 73.2999480726.

It can be divided in two parts, 393 and 832, that added together give a triangular number (1225 = T₄₉).

The spelling of 393832 in words is "three hundred ninety-three thousand, eight hundred thirty-two".