199712 has 18 divisors (see below), whose sum is σ = 398223. Its totient is φ = 98592.

The previous prime is 199697. The next prime is 199721. The reversal of 199712 is 217991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

199712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 99856 + 99856 = 316^2 + 316^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=316.

It is a Duffinian number.

Its product of digits (1134) is a multiple of the sum of its prime divisors (81).

It is an unprimeable number.

199712 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 (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2489 + ... + 2567.

2¹⁹⁹⁷¹² is an apocalyptic number.

It is an amenable number.

199712 is a deficient number, since it is larger than the sum of its proper divisors (198511).

199712 is an frugal number, since it uses more digits than its factorization.

199712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 81 counting only the distinct ones).

The product of its digits is 1134, while the sum is 29.

The square root of 199712 is about 446.8914857099. The cubic root of 199712 is about 58.4522707093.

It can be divided in two parts, 19 and 9712, that multiplied together give a triangular number (184528 = T₆₀₇).

The spelling of 199712 in words is "one hundred ninety-nine thousand, seven hundred twelve".