198825 has 24 divisors (see below), whose sum is σ = 360096. Its totient is φ = 96000.

The previous prime is 198823. The next prime is 198827. The reversal of 198825 is 528891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (198823) and next prime (198827).

It is not a de Polignac number, because 198825 - 2¹ = 198823 is a prime.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198825.

It is not an unprimeable number, because it can be changed into a prime (198823) 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 23 ways as a sum of consecutive naturals, for example, 705 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (15004).

2¹⁹⁸⁸²⁵ is an apocalyptic number.

198825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

198825 is a deficient number, since it is larger than the sum of its proper divisors (161271).

198825 is a wasteful number, since it uses less digits than its factorization.

198825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 260 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 198825 is about 445.8979703923. The cubic root of 198825 is about 58.3656057251.

The spelling of 198825 in words is "one hundred ninety-eight thousand, eight hundred twenty-five".