16863 has 16 divisors (see below), whose sum is σ = 28416. Its totient is φ = 8640.

The previous prime is 16843. The next prime is 16871. The reversal of 16863 is 36861.

16863 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16863 - 2⁵ = 16831 is a prime.

16863 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (1776).

2¹⁶⁸⁶³ is an apocalyptic number.

16863 is a deficient number, since it is larger than the sum of its proper divisors (11553).

16863 is a wasteful number, since it uses less digits than its factorization.

16863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94.

The product of its digits is 864, while the sum is 24.

The square root of 16863 is about 129.8576143320. The cubic root of 16863 is about 25.6435578439.

It can be divided in two parts, 168 and 63, that added together give a triangular number (231 = T₂₁).

The spelling of 16863 in words is "sixteen thousand, eight hundred sixty-three".