163967 has 4 divisors (see below), whose sum is σ = 171120. Its totient is φ = 156816.

The previous prime is 163927. The next prime is 163973. The reversal of 163967 is 769361.

163967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 769361 = 67 ⋅11483.

It is a cyclic number.

It is not a de Polignac number, because 163967 - 2¹² = 159871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163927) 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, 3542 + ... + 3587.

It is an arithmetic number, because the mean of its divisors is an integer number (42780).

2¹⁶³⁹⁶⁷ is an apocalyptic number.

163967 is a deficient number, since it is larger than the sum of its proper divisors (7153).

163967 is an equidigital number, since it uses as much as digits as its factorization.

163967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7152.

The product of its digits is 6804, while the sum is 32.

The square root of 163967 is about 404.9283887306. The cubic root of 163967 is about 54.7333651151.

The spelling of 163967 in words is "one hundred sixty-three thousand, nine hundred sixty-seven".