820201 has 2 divisors, whose sum is σ = 820202. Its totient is φ = 820200.

The previous prime is 820187. The next prime is 820213. The reversal of 820201 is 102028.

820201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 10201 = 900^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 820201 - 2⁷ = 820073 is a prime.

It is a zygodrome in base 3.

It is not a weakly prime, because it can be changed into another prime (820231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410100 + 410101.

It is an arithmetic number, because the mean of its divisors is an integer number (410101).

2⁸²⁰²⁰¹ is an apocalyptic number.

It is an amenable number.

820201 is a deficient number, since it is larger than the sum of its proper divisors (1).

820201 is an equidigital number, since it uses as much as digits as its factorization.

820201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 820201 is about 905.6494906971. The cubic root of 820201 is about 93.6066633311.

Adding to 820201 its reverse (102028), we get a palindrome (922229).

The spelling of 820201 in words is "eight hundred twenty thousand, two hundred one".