827408641 has 2 divisors, whose sum is σ = 827408642. Its totient is φ = 827408640.

The previous prime is 827408629. The next prime is 827408677. The reversal of 827408641 is 146804728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 822026241 + 5382400 = 28671^2 + 2320^2 .

It is a cyclic number.

It is not a de Polignac number, because 827408641 - 2⁵ = 827408609 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 827408594 and 827408603.

It is not a weakly prime, because it can be changed into another prime (827408611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413704320 + 413704321.

It is an arithmetic number, because the mean of its divisors is an integer number (413704321).

Almost surely, 2^827408641 is an apocalyptic number.

It is an amenable number.

827408641 is a deficient number, since it is larger than the sum of its proper divisors (1).

827408641 is an equidigital number, since it uses as much as digits as its factorization.

827408641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 827408641 is about 28764.7117315644. The cubic root of 827408641 is about 938.8005831717.

The spelling of 827408641 in words is "eight hundred twenty-seven million, four hundred eight thousand, six hundred forty-one".