199755 has 24 divisors (see below), whose sum is σ = 363168. Its totient is φ = 101376.

The previous prime is 199753. The next prime is 199777. The reversal of 199755 is 557991.

It is a happy number.

It is not a de Polignac number, because 199755 - 2¹ = 199753 is a prime.

199755 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 199755.

It is not an unprimeable number, because it can be changed into a prime (199751) 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, 939 + ... + 1131.

It is an arithmetic number, because the mean of its divisors is an integer number (15132).

2¹⁹⁹⁷⁵⁵ is an apocalyptic number.

199755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

199755 is a deficient number, since it is larger than the sum of its proper divisors (163413).

199755 is a wasteful number, since it uses less digits than its factorization.

199755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 224 counting only the distinct ones).

The product of its digits is 14175, while the sum is 36.

The square root of 199755 is about 446.9395932338. The cubic root of 199755 is about 58.4564655286.

The spelling of 199755 in words is "one hundred ninety-nine thousand, seven hundred fifty-five".