18829 has 4 divisors (see below), whose sum is σ = 19840. Its totient is φ = 17820.

The previous prime is 18803. The next prime is 18839. The reversal of 18829 is 92881.

18829 = 22² + 23² + ... + 40².

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 92881 = 293 ⋅317.

It is a cyclic number.

It is not a de Polignac number, because 18829 - 2⁵ = 18797 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 18797 and 18806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18839) 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 3 ways as a sum of consecutive naturals, for example, 477 + ... + 514.

It is an arithmetic number, because the mean of its divisors is an integer number (4960).

2¹⁸⁸²⁹ is an apocalyptic number.

18829 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

18829 is a deficient number, since it is larger than the sum of its proper divisors (1011).

18829 is an equidigital number, since it uses as much as digits as its factorization.

18829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010.

The product of its digits is 1152, while the sum is 28.

The square root of 18829 is about 137.2188033762. The cubic root of 18829 is about 26.6037230736.

It can be divided in two parts, 1882 and 9, that added together give a triangular number (1891 = T₆₁).

The spelling of 18829 in words is "eighteen thousand, eight hundred twenty-nine".