825896821 has 2 divisors, whose sum is σ = 825896822. Its totient is φ = 825896820.

The previous prime is 825896801. The next prime is 825896879. The reversal of 825896821 is 128698528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 822886596 + 3010225 = 28686^2 + 1735^2 .

It is a cyclic number.

It is not a de Polignac number, because 825896821 - 2¹⁹ = 825372533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825896801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412948410 + 412948411.

It is an arithmetic number, because the mean of its divisors is an integer number (412948411).

Almost surely, 2^825896821 is an apocalyptic number.

It is an amenable number.

825896821 is a deficient number, since it is larger than the sum of its proper divisors (1).

825896821 is an equidigital number, since it uses as much as digits as its factorization.

825896821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 552960, while the sum is 49.

The square root of 825896821 is about 28738.4206420603. The cubic root of 825896821 is about 938.2284503945.

The spelling of 825896821 in words is "eight hundred twenty-five million, eight hundred ninety-six thousand, eight hundred twenty-one".