199965952 has 18 divisors (see below), whose sum is σ = 399151298. Its totient is φ = 99982848.

The previous prime is 199965919. The next prime is 199965971. The reversal of 199965952 is 259569991.

199965952 is digitally balanced in base 2, 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., 113550336 + 86415616 = 10656^2 + 9296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 199965893 and 199965902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 390303 + ... + 390814.

Almost surely, 2^199965952 is an apocalyptic number.

It is an amenable number.

199965952 is a deficient number, since it is larger than the sum of its proper divisors (199185346).

199965952 is an frugal number, since it uses more digits than its factorization.

199965952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781133 (or 781119 counting only the distinct ones).

The product of its digits is 1968300, while the sum is 55.

The square root of 199965952 is about 14140.9317939095. The cubic root of 199965952 is about 584.7703601072.

The spelling of 199965952 in words is "one hundred ninety-nine million, nine hundred sixty-five thousand, nine hundred fifty-two".