199912257 has 12 divisors (see below), whose sum is σ = 290702100. Its totient is φ = 132379488.

The previous prime is 199912249. The next prime is 199912261. The reversal of 199912257 is 752219991.

It can be written as a sum of positive squares in 2 ways, for example, as 129754881 + 70157376 = 11391^2 + 8376^2 .

It is not a de Polignac number, because 199912257 - 2³ = 199912249 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (199912217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73198 + ... + 75879.

It is an arithmetic number, because the mean of its divisors is an integer number (24225175).

Almost surely, 2^199912257 is an apocalyptic number.

It is an amenable number.

199912257 is a deficient number, since it is larger than the sum of its proper divisors (90789843).

199912257 is a wasteful number, since it uses less digits than its factorization.

199912257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149232 (or 149229 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The square root of 199912257 is about 14139.0330998976. The cubic root of 199912257 is about 584.7180144370.

The spelling of 199912257 in words is "one hundred ninety-nine million, nine hundred twelve thousand, two hundred fifty-seven".