16747 has 2 divisors, whose sum is σ = 16748. Its totient is φ = 16746.

The previous prime is 16741. The next prime is 16759. The reversal of 16747 is 74761.

It is a weak prime.

It is an emirp because it is prime and its reverse (74761) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 16747 - 2⁷ = 16619 is a prime.

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

16747 is a lucky number.

It is a nialpdrome in base 7.

It is not a weakly prime, because it can be changed into another 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 as a sum of consecutive naturals, namely, 8373 + 8374.

It is an arithmetic number, because the mean of its divisors is an integer number (8374).

2¹⁶⁷⁴⁷ is an apocalyptic number.

16747 is a deficient number, since it is larger than the sum of its proper divisors (1).

16747 is an equidigital number, since it uses as much as digits as its factorization.

16747 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1176, while the sum is 25.

The square root of 16747 is about 129.4102005253. The cubic root of 16747 is about 25.5846221120.

It can be divided in two parts, 1674 and 7, that added together give a square (1681 = 41²).

The spelling of 16747 in words is "sixteen thousand, seven hundred forty-seven".