821184041 has 2 divisors, whose sum is σ = 821184042. Its totient is φ = 821184040.

The previous prime is 821184037. The next prime is 821184053. The reversal of 821184041 is 140481128.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 740112025 + 81072016 = 27205^2 + 9004^2 .

It is a cyclic number.

It is not a de Polignac number, because 821184041 - 2² = 821184037 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 821183995 and 821184013.

It is not a weakly prime, because it can be changed into another prime (821184841) 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, 410592020 + 410592021.

It is an arithmetic number, because the mean of its divisors is an integer number (410592021).

Almost surely, 2^821184041 is an apocalyptic number.

It is an amenable number.

821184041 is a deficient number, since it is larger than the sum of its proper divisors (1).

821184041 is an equidigital number, since it uses as much as digits as its factorization.

821184041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 821184041 is about 28656.3089214225. The cubic root of 821184041 is about 936.4404540762.

The spelling of 821184041 in words is "eight hundred twenty-one million, one hundred eighty-four thousand, forty-one".