16723 has 4 divisors (see below), whose sum is σ = 19120. Its totient is φ = 14328.

The previous prime is 16703. The next prime is 16729. The reversal of 16723 is 32761.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 32761 = 181².

It is a cyclic number.

It is not a de Polignac number, because 16723 - 2⁵ = 16691 is a prime.

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

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 16723.

It is not an unprimeable number, because it can be changed into a prime (16729) 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, 1188 + ... + 1201.

It is an arithmetic number, because the mean of its divisors is an integer number (4780).

2¹⁶⁷²³ is an apocalyptic number.

16723 is a deficient number, since it is larger than the sum of its proper divisors (2397).

16723 is an equidigital number, since it uses as much as digits as its factorization.

16723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396.

The product of its digits is 252, while the sum is 19.

The square root of 16723 is about 129.3174388859. The cubic root of 16723 is about 25.5723945591.

Subtracting from 16723 its product of digits (252), we obtain a triangular number (16471 = T₁₈₁).

It can be divided in two parts, 167 and 23, that added together give a triangular number (190 = T₁₉).

The spelling of 16723 in words is "sixteen thousand, seven hundred twenty-three".