827147201 has 2 divisors, whose sum is σ = 827147202. Its totient is φ = 827147200.

The previous prime is 827147179. The next prime is 827147287. The reversal of 827147201 is 102741728.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 799532176 + 27615025 = 28276^2 + 5255^2 .

It is a cyclic number.

It is not a de Polignac number, because 827147201 - 2¹⁴ = 827130817 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (827147401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413573600 + 413573601.

It is an arithmetic number, because the mean of its divisors is an integer number (413573601).

Almost surely, 2^827147201 is an apocalyptic number.

It is an amenable number.

827147201 is a deficient number, since it is larger than the sum of its proper divisors (1).

827147201 is an equidigital number, since it uses as much as digits as its factorization.

827147201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 827147201 is about 28760.1669153710. The cubic root of 827147201 is about 938.7016937524.

Adding to 827147201 its reverse (102741728), we get a palindrome (929888929).

The spelling of 827147201 in words is "eight hundred twenty-seven million, one hundred forty-seven thousand, two hundred one".