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16716 = 2237199

16716 has 24 divisors (see below), whose sum is σ = 44800. Its totient is φ = 4752.

The previous prime is 16703. The next prime is 16729. The reversal of 16716 is 61761.

It is an interprime number because it is at equal distance from previous prime (16703) and next prime (16729).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a nialpdrome in base 7 and base 12.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 16692 and 16701.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16716.

It is an unprimeable number.

16716 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 7 ways as a sum of consecutive naturals, for example, 16 + ... + 183.

216716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22400).

16716 is an abundant number, since it is smaller than the sum of its proper divisors (28084).

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

16716 is a wasteful number, since it uses less digits than its factorization.

16716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 16716 is about 129.2903708712. The cubic root of 16716 is about 25.5688259860.

The spelling of 16716 in words is "sixteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 597 796 1194 1393 2388 2786 4179 5572 8358 16716