198129 has 8 divisors (see below), whose sum is σ = 266272. Its totient is φ = 131040.

The previous prime is 198127. The next prime is 198139. The reversal of 198129 is 921891.

198129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 198129 - 2¹ = 198127 is a prime.

It is a super-3 number, since 3×198129³ = 23332721504702067, which contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 198096 and 198105.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198129.

It is not an unprimeable number, because it can be changed into a prime (198127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477 + ... + 789.

It is an arithmetic number, because the mean of its divisors is an integer number (33284).

2¹⁹⁸¹²⁹ is an apocalyptic number.

It is an amenable number.

198129 is a deficient number, since it is larger than the sum of its proper divisors (68143).

198129 is a wasteful number, since it uses less digits than its factorization.

198129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

The product of its digits is 1296, while the sum is 30.

The square root of 198129 is about 445.1168385941. The cubic root of 198129 is about 58.2974218875.

It can be divided in two parts, 19 and 8129, that multiplied together give a palindrome (154451).

The spelling of 198129 in words is "one hundred ninety-eight thousand, one hundred twenty-nine".