16667 has 4 divisors (see below), whose sum is σ = 19056. Its totient is φ = 14280.

The previous prime is 16661. The next prime is 16673. The reversal of 16667 is 76661.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76661 = 13 ⋅5897.

It is an interprime number because it is at equal distance from previous prime (16661) and next prime (16673).

It is not a de Polignac number, because 16667 - 2⁴ = 16651 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (16661) 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, 1184 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (4764).

2¹⁶⁶⁶⁷ is an apocalyptic number.

16667 is a deficient number, since it is larger than the sum of its proper divisors (2389).

16667 is an equidigital number, since it uses as much as digits as its factorization.

16667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388.

The product of its digits is 1512, while the sum is 26.

The square root of 16667 is about 129.1007358616. The cubic root of 16667 is about 25.5438180363.

Subtracting from 16667 its sum of digits (26), we obtain a square (16641 = 129²).

The spelling of 16667 in words is "sixteen thousand, six hundred sixty-seven".