827093441 has 2 divisors, whose sum is σ = 827093442. Its totient is φ = 827093440.

The previous prime is 827093411. The next prime is 827093453. The reversal of 827093441 is 144390728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 585446416 + 241647025 = 24196^2 + 15545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-827093441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 827093395 and 827093404.

It is not a weakly prime, because it can be changed into another prime (827093411) 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, 413546720 + 413546721.

It is an arithmetic number, because the mean of its divisors is an integer number (413546721).

Almost surely, 2^827093441 is an apocalyptic number.

It is an amenable number.

827093441 is a deficient number, since it is larger than the sum of its proper divisors (1).

827093441 is an equidigital number, since it uses as much as digits as its factorization.

827093441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 827093441 is about 28759.2322741759. The cubic root of 827093441 is about 938.6813565032.

The spelling of 827093441 in words is "eight hundred twenty-seven million, ninety-three thousand, four hundred forty-one".