827205041 has 16 divisors (see below), whose sum is σ = 921664464. Its totient is φ = 737455104.

The previous prime is 827205017. The next prime is 827205073. The reversal of 827205041 is 140502728.

It can be written as a sum of positive squares in 8 ways, for example, as 151413025 + 675792016 = 12305^2 + 25996^2 .

It is a cyclic number.

It is not a de Polignac number, because 827205041 - 2⁶ = 827204977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 827204995 and 827205013.

It is not an unprimeable number, because it can be changed into a prime (827205341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59621 + ... + 72173.

It is an arithmetic number, because the mean of its divisors is an integer number (57604029).

Almost surely, 2^827205041 is an apocalyptic number.

It is an amenable number.

827205041 is a deficient number, since it is larger than the sum of its proper divisors (94459423).

827205041 is a wasteful number, since it uses less digits than its factorization.

827205041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12740.

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 827205041 is about 28761.1724552390. The cubic root of 827205041 is about 938.7235734696.

Adding to 827205041 its reverse (140502728), we get a palindrome (967707769).

The spelling of 827205041 in words is "eight hundred twenty-seven million, two hundred five thousand, forty-one".