16749 has 6 divisors (see below), whose sum is σ = 24206. Its totient is φ = 11160.

The previous prime is 16747. The next prime is 16759. The reversal of 16749 is 94761.

It can be written as a sum of positive squares in only one way, i.e., 8649 + 8100 = 93^2 + 90^2 .

It is not a de Polignac number, because 16749 - 2¹ = 16747 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 zygodrome in base 7.

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 5 ways as a sum of consecutive naturals, for example, 922 + ... + 939.

2¹⁶⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

16749 is a deficient number, since it is larger than the sum of its proper divisors (7457).

16749 is a wasteful number, since it uses less digits than its factorization.

16749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1864 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 16749 is about 129.4179276607. The cubic root of 16749 is about 25.5856405473.

It can be divided in two parts, 167 and 49, that added together give a cube (216 = 6³).

The spelling of 16749 in words is "sixteen thousand, seven hundred forty-nine".