823201 has 2 divisors, whose sum is σ = 823202. Its totient is φ = 823200.

The previous prime is 823183. The next prime is 823219. The reversal of 823201 is 102328.

It is a happy number.

823201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (823183) and next prime (823219).

It can be written as a sum of positive squares in only one way, i.e., 720801 + 102400 = 849^2 + 320^2 .

It is a cyclic number.

It is not a de Polignac number, because 823201 - 2⁵ = 823169 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411600 + 411601.

It is an arithmetic number, because the mean of its divisors is an integer number (411601).

2⁸²³²⁰¹ is an apocalyptic number.

It is an amenable number.

823201 is a deficient number, since it is larger than the sum of its proper divisors (1).

823201 is an equidigital number, since it uses as much as digits as its factorization.

823201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 823201 is about 907.3042488603. The cubic root of 823201 is about 93.7206509612.

Adding to 823201 its reverse (102328), we get a palindrome (925529).

It can be divided in two parts, 823 and 201, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 823201 in words is "eight hundred twenty-three thousand, two hundred one".