198429 has 16 divisors (see below), whose sum is σ = 330240. Its totient is φ = 102960.

The previous prime is 198427. The next prime is 198437. The reversal of 198429 is 924891.

198429 = T₇ + T₈ + ... + T₁₀₅.

198429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 198429 - 2¹ = 198427 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

198429 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 198429.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198429.

It is not an unprimeable number, because it can be changed into a prime (198427) 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, 199 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (20640).

2¹⁹⁸⁴²⁹ is an apocalyptic number.

It is an amenable number.

198429 is a deficient number, since it is larger than the sum of its proper divisors (131811).

198429 is a wasteful number, since it uses less digits than its factorization.

198429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880.

The product of its digits is 5184, while the sum is 33.

The square root of 198429 is about 445.4537012979. The cubic root of 198429 is about 58.3268310213.

It can be divided in two parts, 19 and 8429, that added together give a palindrome (8448).

The spelling of 198429 in words is "one hundred ninety-eight thousand, four hundred twenty-nine".