198713 has 4 divisors (see below), whose sum is σ = 210420. Its totient is φ = 187008.

The previous prime is 198701. The next prime is 198719. The reversal of 198713 is 317891.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 317891 = 7 ⋅45413.

It can be written as a sum of positive squares in 2 ways, for example, as 182329 + 16384 = 427^2 + 128^2 .

It is a cyclic number.

It is not a de Polignac number, because 198713 - 2¹⁰ = 197689 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (198719) 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 3 ways as a sum of consecutive naturals, for example, 5828 + ... + 5861.

It is an arithmetic number, because the mean of its divisors is an integer number (52605).

2¹⁹⁸⁷¹³ is an apocalyptic number.

It is an amenable number.

198713 is a deficient number, since it is larger than the sum of its proper divisors (11707).

198713 is a wasteful number, since it uses less digits than its factorization.

198713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11706.

The product of its digits is 1512, while the sum is 29.

The square root of 198713 is about 445.7723634323. The cubic root of 198713 is about 58.3546443676.

The spelling of 198713 in words is "one hundred ninety-eight thousand, seven hundred thirteen".