199353 has 16 divisors (see below), whose sum is σ = 331776. Its totient is φ = 103440.

The previous prime is 199343. The next prime is 199357. The reversal of 199353 is 353991.

199353 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 199353 - 2⁴ = 199337 is a prime.

199353 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 199353.

It is not an unprimeable number, because it can be changed into a prime (199357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201 + ... + 662.

It is an arithmetic number, because the mean of its divisors is an integer number (20736).

2¹⁹⁹³⁵³ is an apocalyptic number.

It is an amenable number.

199353 is a deficient number, since it is larger than the sum of its proper divisors (132423).

199353 is a wasteful number, since it uses less digits than its factorization.

199353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884.

The product of its digits is 3645, while the sum is 30.

The square root of 199353 is about 446.4896415372. The cubic root of 199353 is about 58.4172253248.

The spelling of 199353 in words is "one hundred ninety-nine thousand, three hundred fifty-three".