199965 has 8 divisors (see below), whose sum is σ = 319968. Its totient is φ = 106640.

The previous prime is 199961. The next prime is 199967. The reversal of 199965 is 569991.

199965 is nontrivially palindromic in base 12.

199965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 199965 - 2² = 199961 is a prime.

199965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6651 + ... + 6680.

It is an arithmetic number, because the mean of its divisors is an integer number (39996).

2¹⁹⁹⁹⁶⁵ is an apocalyptic number.

199965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199965 is a deficient number, since it is larger than the sum of its proper divisors (120003).

199965 is a wasteful number, since it uses less digits than its factorization.

199965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13339.

The product of its digits is 21870, while the sum is 39.

The square root of 199965 is about 447.1744625982. The cubic root of 199965 is about 58.4769432112.

The spelling of 199965 in words is "one hundred ninety-nine thousand, nine hundred sixty-five".