827041 has 2 divisors, whose sum is σ = 827042. Its totient is φ = 827040.

The previous prime is 827039. The next prime is 827063. The reversal of 827041 is 140728.

827041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (827063) can be obtained adding 827041 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 646416 + 180625 = 804^2 + 425^2 .

It is a cyclic number.

It is not a de Polignac number, because 827041 - 2¹ = 827039 is a prime.

Together with 827039, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (827741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413520 + 413521.

It is an arithmetic number, because the mean of its divisors is an integer number (413521).

2⁸²⁷⁰⁴¹ is an apocalyptic number.

It is an amenable number.

827041 is a deficient number, since it is larger than the sum of its proper divisors (1).

827041 is an equidigital number, since it uses as much as digits as its factorization.

827041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 827041 is about 909.4179457213. The cubic root of 827041 is about 93.8661517379.

Adding to 827041 its reverse (140728), we get a palindrome (967769).

The spelling of 827041 in words is "eight hundred twenty-seven thousand, forty-one".