199955 has 16 divisors (see below), whose sum is σ = 285120. Its totient is φ = 131712.

The previous prime is 199933. The next prime is 199961. The reversal of 199955 is 559991.

199955 = 166² + 167² + ... + 172².

It is not a de Polignac number, because 199955 - 2¹⁴ = 183571 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917 + ... + 1113.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

2¹⁹⁹⁹⁵⁵ is an apocalyptic number.

199955 is a deficient number, since it is larger than the sum of its proper divisors (85165).

199955 is a wasteful number, since it uses less digits than its factorization.

199955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238.

The product of its digits is 18225, while the sum is 38.

The square root of 199955 is about 447.1632811401. The cubic root of 199955 is about 58.4759684087.

The spelling of 199955 in words is "one hundred ninety-nine thousand, nine hundred fifty-five".