199956 has 24 divisors (see below), whose sum is σ = 491680. Its totient is φ = 63072.

The previous prime is 199933. The next prime is 199961. The reversal of 199956 is 659991.

199956 = T₈₃ + T₈₄ + ... + T₁₂₀.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

199956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211 + ... + 666.

2¹⁹⁹⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

199956 is an abundant number, since it is smaller than the sum of its proper divisors (291724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199956 is a wasteful number, since it uses less digits than its factorization.

199956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 901 counting only the distinct ones).

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

The square root of 199956 is about 447.1643992985. The cubic root of 199956 is about 58.4760658904.

The spelling of 199956 in words is "one hundred ninety-nine thousand, nine hundred fifty-six".