821201 has 4 divisors (see below), whose sum is σ = 823092. Its totient is φ = 819312.

The previous prime is 821173. The next prime is 821207. The reversal of 821201 is 102128.

821201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 462400 + 358801 = 680^2 + 599^2 .

It is a cyclic number.

It is not a de Polignac number, because 821201 - 2¹⁰ = 820177 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (821207) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (205773).

2⁸²¹²⁰¹ is an apocalyptic number.

It is an amenable number.

821201 is a deficient number, since it is larger than the sum of its proper divisors (1891).

821201 is a wasteful number, since it uses less digits than its factorization.

821201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 821201 is about 906.2014124906. The cubic root of 821201 is about 93.6446900453.

Adding to 821201 its reverse (102128), we get a palindrome (923329).

The spelling of 821201 in words is "eight hundred twenty-one thousand, two hundred one".