163884 has 24 divisors (see below), whose sum is σ = 437248. Its totient is φ = 46800.

The previous prime is 163883. The next prime is 163901. The reversal of 163884 is 488361.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 163884.

It is not an unprimeable number, because it can be changed into a prime (163883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 892 + ... + 1059.

2¹⁶³⁸⁸⁴ is an apocalyptic number.

163884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

163884 is an abundant number, since it is smaller than the sum of its proper divisors (273364).

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

163884 is a wasteful number, since it uses less digits than its factorization.

163884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1963 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 163884 is about 404.8258885002. The cubic root of 163884 is about 54.7241282238.

The spelling of 163884 in words is "one hundred sixty-three thousand, eight hundred eighty-four".