16812 has 18 divisors (see below), whose sum is σ = 42588. Its totient is φ = 5592.

The previous prime is 16811. The next prime is 16823. The reversal of 16812 is 21861.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (16811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 198 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (2366).

2¹⁶⁸¹² is an apocalyptic number.

16812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16812 is an abundant number, since it is smaller than the sum of its proper divisors (25776).

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

16812 is a wasteful number, since it uses less digits than its factorization.

16812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 472 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 16812 is about 129.6610967098. The cubic root of 16812 is about 25.6176798444.

It can be divided in two parts, 168 and 12, that multiplied together give a triangular number (2016 = T₆₃).

The spelling of 16812 in words is "sixteen thousand, eight hundred twelve".