16744 has 32 divisors (see below), whose sum is σ = 40320. Its totient is φ = 6336.

The previous prime is 16741. The next prime is 16747. The reversal of 16744 is 44761.

It is an interprime number because it is at equal distance from previous prime (16741) and next prime (16747).

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is an Ulam 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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 717 + ... + 739.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2¹⁶⁷⁴⁴ is an apocalyptic number.

16744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

16744 is an abundant number, since it is smaller than the sum of its proper divisors (23576).

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

16744 is a wasteful number, since it uses less digits than its factorization.

16744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 45 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 16744 is about 129.3986089570. The cubic root of 16744 is about 25.5830943070.

The spelling of 16744 in words is "sixteen thousand, seven hundred forty-four".