18967 has 4 divisors (see below), whose sum is σ = 20440. Its totient is φ = 17496.

The previous prime is 18959. The next prime is 18973. The reversal of 18967 is 76981.

18967 is digitally balanced in base 3, 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: 76981 = 23 ⋅3347.

It is a 7-Lehmer number, since φ(18967) divides (18967-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 18967 - 2³ = 18959 is a prime.

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

It is a Duffinian number.

18967 is a lucky number.

It is a nialpdrome in base 13.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 717 + ... + 742.

It is an arithmetic number, because the mean of its divisors is an integer number (5110).

2¹⁸⁹⁶⁷ is an apocalyptic number.

18967 is a deficient number, since it is larger than the sum of its proper divisors (1473).

18967 is a wasteful number, since it uses less digits than its factorization.

18967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472.

The product of its digits is 3024, while the sum is 31.

The square root of 18967 is about 137.7207319179. The cubic root of 18967 is about 26.6685588935.

It can be divided in two parts, 189 and 67, that added together give a 8-th power (256 = 2⁸).

The spelling of 18967 in words is "eighteen thousand, nine hundred sixty-seven".