199771 has 12 divisors (see below), whose sum is σ = 238336. Its totient is φ = 166320.

The previous prime is 199753. The next prime is 199777. The reversal of 199771 is 177991.

It is a happy number.

199771 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 199771 - 2⁵ = 199739 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1510 + ... + 1636.

2¹⁹⁹⁷⁷¹ is an apocalyptic number.

199771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

199771 is a deficient number, since it is larger than the sum of its proper divisors (38565).

199771 is a wasteful number, since it uses less digits than its factorization.

199771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its digits is 3969, while the sum is 34.

The square root of 199771 is about 446.9574923860. The cubic root of 199771 is about 58.4580262380.

The spelling of 199771 in words is "one hundred ninety-nine thousand, seven hundred seventy-one".