199172 has 24 divisors (see below), whose sum is σ = 385560. Its totient is φ = 89600.

The previous prime is 199153. The next prime is 199181. The reversal of 199172 is 271991.

It can be written as a sum of positive squares in 4 ways, for example, as 111556 + 87616 = 334^2 + 296^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 199172.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 1922 + ... + 2022.

It is an arithmetic number, because the mean of its divisors is an integer number (16065).

2¹⁹⁹¹⁷² is an apocalyptic number.

It is an amenable number.

199172 is a deficient number, since it is larger than the sum of its proper divisors (186388).

199172 is a wasteful number, since it uses less digits than its factorization.

199172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

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

The square root of 199172 is about 446.2869032360. The cubic root of 199172 is about 58.3995402478.

The spelling of 199172 in words is "one hundred ninety-nine thousand, one hundred seventy-two".