198031 has 2 divisors, whose sum is σ = 198032. Its totient is φ = 198030.

The previous prime is 198017. The next prime is 198043. The reversal of 198031 is 130891.

198031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 198031 - 2¹⁷ = 66959 is a prime.

It is a super-2 number, since 2×198031² = 78432553922, which contains 22 as substring.

198031 is a lucky number.

It is equal to p₁₇₈₂₄ and since 198031 and 17824 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 197993 and 198011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (198091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99015 + 99016.

It is an arithmetic number, because the mean of its divisors is an integer number (99016).

2¹⁹⁸⁰³¹ is an apocalyptic number.

198031 is a deficient number, since it is larger than the sum of its proper divisors (1).

198031 is an equidigital number, since it uses as much as digits as its factorization.

198031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 198031 is about 445.0067415220. The cubic root of 198031 is about 58.2878084714.

The spelling of 198031 in words is "one hundred ninety-eight thousand, thirty-one".