16782 has 8 divisors (see below), whose sum is σ = 33576. Its totient is φ = 5592.

The previous prime is 16763. The next prime is 16787. The reversal of 16782 is 28761.

It is a sphenic number, since it is the product of 3 distinct primes.

16782 is an admirable number.

It is a plaindrome in base 11.

It is a nialpdrome in base 7 and base 12.

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 (16787) by changing a digit.

16782 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1393 + ... + 1404.

It is an arithmetic number, because the mean of its divisors is an integer number (4197).

2¹⁶⁷⁸² is an apocalyptic number.

16782 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16788).

16782 is a wasteful number, since it uses less digits than its factorization.

16782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802.

The product of its digits is 672, while the sum is 24.

The square root of 16782 is about 129.5453588516. The cubic root of 16782 is about 25.6024330370.

Subtracting from 16782 its product of digits (672), we obtain a triangular number (16110 = T₁₇₉).

The spelling of 16782 in words is "sixteen thousand, seven hundred eighty-two".