827611201 has 2 divisors, whose sum is σ = 827611202. Its totient is φ = 827611200.

The previous prime is 827611181. The next prime is 827611207. The reversal of 827611201 is 102116728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 743980176 + 83631025 = 27276^2 + 9145^2 .

It is a cyclic number.

It is not a de Polignac number, because 827611201 - 2⁷ = 827611073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 827611201.

It is not a weakly prime, because it can be changed into another prime (827611207) 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, 413805600 + 413805601.

It is an arithmetic number, because the mean of its divisors is an integer number (413805601).

Almost surely, 2^827611201 is an apocalyptic number.

It is an amenable number.

827611201 is a deficient number, since it is larger than the sum of its proper divisors (1).

827611201 is an equidigital number, since it uses as much as digits as its factorization.

827611201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 827611201 is about 28768.2324969749. The cubic root of 827611201 is about 938.8771869684.

Adding to 827611201 its reverse (102116728), we get a palindrome (929727929).

The spelling of 827611201 in words is "eight hundred twenty-seven million, six hundred eleven thousand, two hundred one".