198300257 has 8 divisors (see below), whose sum is σ = 210105000. Its totient is φ = 186511104.

The previous prime is 198300253. The next prime is 198300259. The reversal of 198300257 is 752003891.

198300257 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 4 ways, for example, as 56190016 + 142110241 = 7496^2 + 11921^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 198300257 - 2² = 198300253 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198300253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31619 + ... + 37367.

It is an arithmetic number, because the mean of its divisors is an integer number (26263125).

Almost surely, 2^198300257 is an apocalyptic number.

198300257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

198300257 is the 11498-th pentagonal number.

It is an amenable number.

198300257 is a deficient number, since it is larger than the sum of its proper divisors (11804743).

198300257 is a wasteful number, since it uses less digits than its factorization.

198300257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7795.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 198300257 is about 14081.9124056358. The cubic root of 198300257 is about 583.1421392093.

The spelling of 198300257 in words is "one hundred ninety-eight million, three hundred thousand, two hundred fifty-seven".