199853 has 2 divisors, whose sum is σ = 199854. Its totient is φ = 199852.

The previous prime is 199831. The next prime is 199873. The reversal of 199853 is 358991.

199853 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 can be written as a sum of positive squares in only one way, i.e., 195364 + 4489 = 442^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 199853 - 2¹⁰ = 198829 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (199813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99926 + 99927.

It is an arithmetic number, because the mean of its divisors is an integer number (99927).

2¹⁹⁹⁸⁵³ is an apocalyptic number.

It is an amenable number.

199853 is a deficient number, since it is larger than the sum of its proper divisors (1).

199853 is an equidigital number, since it uses as much as digits as its factorization.

199853 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9720, while the sum is 35.

The square root of 199853 is about 447.0492142930. The cubic root of 199853 is about 58.4660235656.

The spelling of 199853 in words is "one hundred ninety-nine thousand, eight hundred fifty-three".