199504 has 20 divisors (see below), whose sum is σ = 398164. Its totient is φ = 96768.

The previous prime is 199501. The next prime is 199523. The reversal of 199504 is 405991.

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 78400 = 348^2 + 280^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199501) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 424 + ... + 760.

2¹⁹⁹⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

199504 is a deficient number, since it is larger than the sum of its proper divisors (198660).

199504 is a wasteful number, since it uses less digits than its factorization.

199504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 199504 is about 446.6587063967. The cubic root of 199504 is about 58.4319709850.

It can be divided in two parts, 19950 and 4, that multiplied together give a triangular number (79800 = T₃₉₉).

The spelling of 199504 in words is "one hundred ninety-nine thousand, five hundred four".