198513 has 24 divisors (see below), whose sum is σ = 344448. Its totient is φ = 107712.

The previous prime is 198503. The next prime is 198529. The reversal of 198513 is 315891.

198513 is nontrivially palindromic in base 12.

198513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 198513 - 2⁸ = 198257 is a prime.

It is a super-2 number, since 2×198513² = 78814822338, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (198503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1381 + ... + 1517.

It is an arithmetic number, because the mean of its divisors is an integer number (14352).

2¹⁹⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

198513 is a deficient number, since it is larger than the sum of its proper divisors (145935).

198513 is a wasteful number, since it uses less digits than its factorization.

198513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 170 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 198513 is about 445.5479772146. The cubic root of 198513 is about 58.3350602663.

The spelling of 198513 in words is "one hundred ninety-eight thousand, five hundred thirteen".