827001221 has 2 divisors, whose sum is σ = 827001222. Its totient is φ = 827001220.

The previous prime is 827001209. The next prime is 827001233. The reversal of 827001221 is 122100728.

It is a balanced prime because it is at equal distance from previous prime (827001209) and next prime (827001233).

It can be written as a sum of positive squares in only one way, i.e., 571449025 + 255552196 = 23905^2 + 15986^2 .

It is a cyclic number.

It is not a de Polignac number, because 827001221 - 2⁶ = 827001157 is a prime.

It is a Chen prime.

827001221 is a modest number, since divided by 1221 gives 827 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827001251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413500610 + 413500611.

It is an arithmetic number, because the mean of its divisors is an integer number (413500611).

Almost surely, 2^827001221 is an apocalyptic number.

It is an amenable number.

827001221 is a deficient number, since it is larger than the sum of its proper divisors (1).

827001221 is an equidigital number, since it uses as much as digits as its factorization.

827001221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 827001221 is about 28757.6289182540. The cubic root of 827001221 is about 938.6464678969.

Adding to 827001221 its reverse (122100728), we get a palindrome (949101949).

The spelling of 827001221 in words is "eight hundred twenty-seven million, one thousand, two hundred twenty-one".