16724 has 12 divisors (see below), whose sum is σ = 30324. Its totient is φ = 8064.

The previous prime is 16703. The next prime is 16729. The reversal of 16724 is 42761.

16724 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 6724 + 10000 = 82^2 + 100^2 .

It is an Ulam number.

16724 is an undulating number in base 15.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 16696 and 16705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16729) by changing a digit.

16724 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 92 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (2527).

2¹⁶⁷²⁴ is an apocalyptic number.

It is an amenable number.

16724 is a deficient number, since it is larger than the sum of its proper divisors (13600).

16724 is a wasteful number, since it uses less digits than its factorization.

16724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

The product of its digits is 336, while the sum is 20.

The square root of 16724 is about 129.3213052826. The cubic root of 16724 is about 25.5729042740.

It can be divided in two parts, 167 and 24, that added together give a palindrome (191).

The spelling of 16724 in words is "sixteen thousand, seven hundred twenty-four".