198948 has 24 divisors (see below), whose sum is σ = 473760. Its totient is φ = 64960.

The previous prime is 198943. The next prime is 198953. The reversal of 198948 is 849891.

It is an interprime number because it is at equal distance from previous prime (198943) and next prime (198953).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198948.

It is not an unprimeable number, because it can be changed into a prime (198941) by changing a digit.

198948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568 + ... + 848.

It is an arithmetic number, because the mean of its divisors is an integer number (19740).

2¹⁹⁸⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

198948 is an abundant number, since it is smaller than the sum of its proper divisors (274812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198948 is a wasteful number, since it uses less digits than its factorization.

198948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 345 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 198948 is about 446.0358729968. The cubic root of 198948 is about 58.3776389027.

The spelling of 198948 in words is "one hundred ninety-eight thousand, nine hundred forty-eight".