198752 has 12 divisors (see below), whose sum is σ = 391356. Its totient is φ = 99360.

The previous prime is 198733. The next prime is 198761. The reversal of 198752 is 257891.

198752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 6211 = 198752 / (1 + 9 + 8 + 7 + 5 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3074 + ... + 3137.

It is an arithmetic number, because the mean of its divisors is an integer number (32613).

2¹⁹⁸⁷⁵² is an apocalyptic number.

It is an amenable number.

198752 is a deficient number, since it is larger than the sum of its proper divisors (192604).

198752 is an equidigital number, since it uses as much as digits as its factorization.

198752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6221 (or 6213 counting only the distinct ones).

The product of its digits is 5040, while the sum is 32.

The square root of 198752 is about 445.8161055861. The cubic root of 198752 is about 58.3584617362.

The spelling of 198752 in words is "one hundred ninety-eight thousand, seven hundred fifty-two".