16746 has 8 divisors (see below), whose sum is σ = 33504. Its totient is φ = 5580.

The previous prime is 16741. The next prime is 16747. The reversal of 16746 is 64761.

It is a sphenic number, since it is the product of 3 distinct primes.

16746 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (16741) 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, 1390 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (4188).

2¹⁶⁷⁴⁶ is an apocalyptic number.

16746 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752).

16746 is a wasteful number, since it uses less digits than its factorization.

16746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796.

The product of its digits is 1008, while the sum is 24.

The square root of 16746 is about 129.4063367846. The cubic root of 16746 is about 25.5841128640.

The spelling of 16746 in words is "sixteen thousand, seven hundred forty-six".