200257 has 2 divisors, whose sum is σ = 200258. Its totient is φ = 200256.

The previous prime is 200237. The next prime is 200273. The reversal of 200257 is 752002.

It is a happy number.

It is an a-pointer prime, because the next prime (200273) can be obtained adding 200257 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194481 + 5776 = 441^2 + 76^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-200257 is a prime.

It is the 448-th Hogben number.

200257 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 200257.

It is not a weakly prime, because it can be changed into another prime (200227) by changing a digit.

It is a nontrivial repunit in base 447.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100128 + 100129.

It is an arithmetic number, because the mean of its divisors is an integer number (100129).

2²⁰⁰²⁵⁷ is an apocalyptic number.

It is an amenable number.

200257 is a deficient number, since it is larger than the sum of its proper divisors (1).

200257 is an equidigital number, since it uses as much as digits as its factorization.

200257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 200257 is about 447.5008379880. The cubic root of 200257 is about 58.5053931278.

Adding to 200257 its reverse (752002), we get a palindrome (952259).

The spelling of 200257 in words is "two hundred thousand, two hundred fifty-seven".