199935 has 16 divisors (see below), whose sum is σ = 355680. Its totient is φ = 106560.

The previous prime is 199933. The next prime is 199961. The reversal of 199935 is 539991.

It is not a de Polignac number, because 199935 - 2¹ = 199933 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 199935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199931) 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, 606 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (22230).

2¹⁹⁹⁹³⁵ is an apocalyptic number.

199935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

199935 is a deficient number, since it is larger than the sum of its proper divisors (155745).

199935 is a wasteful number, since it uses less digits than its factorization.

199935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1489 counting only the distinct ones).

The product of its digits is 10935, while the sum is 36.

The square root of 199935 is about 447.1409173851. The cubic root of 199935 is about 58.4740187060.

The spelling of 199935 in words is "one hundred ninety-nine thousand, nine hundred thirty-five".