163992 has 16 divisors (see below), whose sum is σ = 410040. Its totient is φ = 54656.

The previous prime is 163991. The next prime is 163993. The reversal of 163992 is 299361.

It is an interprime number because it is at equal distance from previous prime (163991) and next prime (163993).

It is a plaindrome in base 15.

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 163992.

It is not an unprimeable number, because it can be changed into a prime (163991) 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 3 ways as a sum of consecutive naturals, for example, 3393 + ... + 3440.

2¹⁶³⁹⁹² is an apocalyptic number.

163992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

163992 is an abundant number, since it is smaller than the sum of its proper divisors (246048).

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

163992 is a wasteful number, since it uses less digits than its factorization.

163992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6842 (or 6838 counting only the distinct ones).

The product of its digits is 2916, while the sum is 30.

The square root of 163992 is about 404.9592572099. The cubic root of 163992 is about 54.7361467004.

The spelling of 163992 in words is "one hundred sixty-three thousand, nine hundred ninety-two".