16845 has 8 divisors (see below), whose sum is σ = 26976. Its totient is φ = 8976.

The previous prime is 16843. The next prime is 16871. The reversal of 16845 is 54861.

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

It is not a de Polignac number, because 16845 - 2¹ = 16843 is a prime.

16845 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16843) 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, 547 + ... + 576.

It is an arithmetic number, because the mean of its divisors is an integer number (3372).

2¹⁶⁸⁴⁵ is an apocalyptic number.

16845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16845 is a deficient number, since it is larger than the sum of its proper divisors (10131).

16845 is a wasteful number, since it uses less digits than its factorization.

16845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131.

The product of its digits is 960, while the sum is 24.

The square root of 16845 is about 129.7882891481. The cubic root of 16845 is about 25.6344303978.

It can be divided in two parts, 16 and 845, that added together give a triangular number (861 = T₄₁).

The spelling of 16845 in words is "sixteen thousand, eight hundred forty-five".