199600385 has 16 divisors (see below), whose sum is σ = 250647696. Its totient is φ = 152425728.

The previous prime is 199600337. The next prime is 199600409. The reversal of 199600385 is 583006991.

It is a Cunningham number, because it is equal to 14128²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 18939904 + 180660481 = 4352^2 + 13441^2 .

It is a cyclic number.

It is not a de Polignac number, because 199600385 - 2⁶ = 199600321 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 374 + ... + 19983.

It is an arithmetic number, because the mean of its divisors is an integer number (15665481).

Almost surely, 2^199600385 is an apocalyptic number.

It is an amenable number.

199600385 is a deficient number, since it is larger than the sum of its proper divisors (51047311).

199600385 is a wasteful number, since it uses less digits than its factorization.

199600385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20452.

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 199600385 is about 14128.0000353907. Note that the first 4 decimals coincide. The cubic root of 199600385 is about 584.4137941588.

The spelling of 199600385 in words is "one hundred ninety-nine million, six hundred thousand, three hundred eighty-five".