198913 has 12 divisors (see below), whose sum is σ = 237168. Its totient is φ = 165360.

The previous prime is 198901. The next prime is 198929. The reversal of 198913 is 319891.

It is a de Polignac number, because none of the positive numbers 2^k-198913 is a prime.

It is a Duffinian number.

198913 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (198943) by changing a digit.

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 in 11 ways as a sum of consecutive naturals, for example, 1806 + ... + 1912.

It is an arithmetic number, because the mean of its divisors is an integer number (19764).

2¹⁹⁸⁹¹³ is an apocalyptic number.

198913 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

198913 is a deficient number, since it is larger than the sum of its proper divisors (38255).

198913 is a wasteful number, since it uses less digits than its factorization.

198913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its digits is 1944, while the sum is 31.

The square root of 198913 is about 445.9966367586. The cubic root of 198913 is about 58.3742153327.

It can be divided in two parts, 1989 and 13, that added together give a palindrome (2002).

The spelling of 198913 in words is "one hundred ninety-eight thousand, nine hundred thirteen".