163832 has 8 divisors (see below), whose sum is σ = 307200. Its totient is φ = 81912.

The previous prime is 163819. The next prime is 163841. The reversal of 163832 is 238361.

It is a tau number, because it is divible by the number of its divisors (8).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 163798 and 163807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10232 + ... + 10247.

It is an arithmetic number, because the mean of its divisors is an integer number (38400).

163832 is a Friedman number, since it can be written as 32^3*(6-1)-8, using all its digits and the basic arithmetic operations.

2¹⁶³⁸³² is an apocalyptic number.

It is an amenable number.

163832 is a deficient number, since it is larger than the sum of its proper divisors (143368).

163832 is a wasteful number, since it uses less digits than its factorization.

163832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20485 (or 20481 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 163832 is about 404.7616582632. The cubic root of 163832 is about 54.7183396667.

Subtracting 163832 from its reverse (238361), we obtain a square (74529 = 273²).

The spelling of 163832 in words is "one hundred sixty-three thousand, eight hundred thirty-two".