16764 has 24 divisors (see below), whose sum is σ = 43008. Its totient is φ = 5040.

The previous prime is 16763. The next prime is 16787. The reversal of 16764 is 46761.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16763) 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 7 ways as a sum of consecutive naturals, for example, 69 + ... + 195.

It is an arithmetic number, because the mean of its divisors is an integer number (1792).

2¹⁶⁷⁶⁴ 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 16764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21504).

16764 is an abundant number, since it is smaller than the sum of its proper divisors (26244).

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

16764 is a wasteful number, since it uses less digits than its factorization.

16764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 143 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 16764 is about 129.4758664771. The cubic root of 16764 is about 25.5932762290.

It can be divided in two parts, 167 and 64, that added together give a triangular number (231 = T₂₁).

The spelling of 16764 in words is "sixteen thousand, seven hundred sixty-four".