199584001 has 2 divisors, whose sum is σ = 199584002. Its totient is φ = 199584000.

The previous prime is 199583977. The next prime is 199584017. The reversal of 199584001 is 100485991.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189337600 + 10246401 = 13760^2 + 3201^2 .

It is an emirp because it is prime and its reverse (100485991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 199584001 - 2⁷ = 199583873 is a prime.

It is a super-3 number, since 3×199584001³ (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (199584101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99792000 + 99792001.

It is an arithmetic number, because the mean of its divisors is an integer number (99792001).

Almost surely, 2^199584001 is an apocalyptic number.

It is an amenable number.

199584001 is a deficient number, since it is larger than the sum of its proper divisors (1).

199584001 is an equidigital number, since it uses as much as digits as its factorization.

199584001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 199584001 is about 14127.4201820431. The cubic root of 199584001 is about 584.3978033787.

The spelling of 199584001 in words is "one hundred ninety-nine million, five hundred eighty-four thousand, one".