16743 has 4 divisors (see below), whose sum is σ = 22328. Its totient is φ = 11160.

The previous prime is 16741. The next prime is 16747. The reversal of 16743 is 34761.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 34761 = 3 ⋅11587.

It is not a de Polignac number, because 16743 - 2¹ = 16741 is a prime.

It is a d-powerful number, because it can be written as 1 + 6 + 7³ + 4⁷ + 3² .

It is a D-number.

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

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16741) 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, 2788 + ... + 2793.

It is an arithmetic number, because the mean of its divisors is an integer number (5582).

16743 is a Friedman number, since it can be written as 7^(6-1)-4^3, using all its digits and the basic arithmetic operations.

2¹⁶⁷⁴³ is an apocalyptic number.

16743 is a deficient number, since it is larger than the sum of its proper divisors (5585).

16743 is an equidigital number, since it uses as much as digits as its factorization.

16743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584.

The product of its digits is 504, while the sum is 21.

The square root of 16743 is about 129.3947448701. The cubic root of 16743 is about 25.5825849982.

It can be divided in two parts, 167 and 43, that added together give a triangular number (210 = T₂₀).

The spelling of 16743 in words is "sixteen thousand, seven hundred forty-three".