193998 has 32 divisors (see below), whose sum is σ = 460800. Its totient is φ = 53280.

The previous prime is 193993. The next prime is 194003. The reversal of 193998 is 899391.

It is an interprime number because it is at equal distance from previous prime (193993) and next prime (194003).

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 193998.

It is not an unprimeable number, because it can be changed into a prime (193993) by changing a digit.

193998 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 15 ways as a sum of consecutive naturals, for example, 1228 + ... + 1376.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2¹⁹³⁹⁹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230400).

193998 is an abundant number, since it is smaller than the sum of its proper divisors (266802).

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

193998 is a wasteful number, since it uses less digits than its factorization.

193998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192.

The product of its digits is 17496, while the sum is 39.

The square root of 193998 is about 440.4520405220. The cubic root of 193998 is about 57.8894047866.

The spelling of 193998 in words is "one hundred ninety-three thousand, nine hundred ninety-eight".