163984 has 20 divisors (see below), whose sum is σ = 327484. Its totient is φ = 79488.

The previous prime is 163981. The next prime is 163987. The reversal of 163984 is 489361.

It is an interprime number because it is at equal distance from previous prime (163981) and next prime (163987).

It can be written as a sum of positive squares in 2 ways, for example, as 90000 + 73984 = 300^2 + 272^2 .

It is not an unprimeable number, because it can be changed into a prime (163981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 454 + ... + 730.

2¹⁶³⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

163984 is a deficient number, since it is larger than the sum of its proper divisors (163500).

163984 is a wasteful number, since it uses less digits than its factorization.

163984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 163984 is about 404.9493795526. The cubic root of 163984 is about 54.7352566239.

The spelling of 163984 in words is "one hundred sixty-three thousand, nine hundred eighty-four".