8197201 has 2 divisors, whose sum is σ = 8197202. Its totient is φ = 8197200.

The previous prime is 8197199. The next prime is 8197271. The reversal of 8197201 is 1027918.

8197201 = 2024² + 2025².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4100625 + 4096576 = 2025^2 + 2024^2 .

It is a cyclic number.

It is not a de Polignac number, because 8197201 - 2¹ = 8197199 is a prime.

Together with 8197199, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 8197201.

It is not a weakly prime, because it can be changed into another prime (8197271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4098600 + 4098601.

It is an arithmetic number, because the mean of its divisors is an integer number (4098601).

Almost surely, 2^8197201 is an apocalyptic number.

8197201 is the 2025-th centered square number.

It is an amenable number.

8197201 is a deficient number, since it is larger than the sum of its proper divisors (1).

8197201 is an equidigital number, since it uses as much as digits as its factorization.

8197201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 8197201 is about 2863.0754443430. The cubic root of 8197201 is about 201.6300207377.

The spelling of 8197201 in words is "eight million, one hundred ninety-seven thousand, two hundred one".