199 has 2 divisors, whose sum is σ = 200. Its totient is φ = 198.

The previous prime is 197. The next prime is 211. The reversal of 199 is 991.

199 = T_{10} + T_{11} +
T_{12}.

199 = 3^{2} + 4^{2} + ... + 8^{2}.

199 is nontrivially palindromic in base 11.

It is a weak prime.

It is an emirp because it is prime and its reverse (991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 199 - 2^{1} = 197 is a prime.

Together with 197, it forms a pair of twin primes.

It is a Chen prime.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 1 and 99 contains 199 itself.

It is a Lucas number.

199 is an undulating number in base 11.

199 is a modest number, since divided by 99 gives 1 as remainder.

It is a plaindrome in base 5, base 10, base 12 and base 13.

It is a nialpdrome in base 6, base 15 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99 + 100.

It is an arithmetic number, because the mean of its divisors is an integer number (100).

199 is the 12-th centered triangular number.

199 is a deficient number, since it is larger than the sum of its proper divisors (1).

199 is an equidigital number, since it uses as much as digits as its factorization.

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

The product of its digits is 81, while the sum is 19.

The square root of 199 is about 14.1067359797. The cubic root of 199 is about 5.8382724608.

It can be divided in two parts, 19 and 9, that multiplied together give a palindrome (171).

The spelling of 199 in words is "one hundred ninety-nine", and thus it is an aban number.

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