824264081 has 2 divisors, whose sum is σ = 824264082. Its totient is φ = 824264080.

The previous prime is 824264029. The next prime is 824264107. The reversal of 824264081 is 180462428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 614593681 + 209670400 = 24791^2 + 14480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-824264081 is a prime.

It is a super-2 number, since 2×824264081² = 1358822550453549122, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (824264011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412132040 + 412132041.

It is an arithmetic number, because the mean of its divisors is an integer number (412132041).

Almost surely, 2^824264081 is an apocalyptic number.

It is an amenable number.

824264081 is a deficient number, since it is larger than the sum of its proper divisors (1).

824264081 is an equidigital number, since it uses as much as digits as its factorization.

824264081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 824264081 is about 28709.9996691048. Note that the first 3 decimals coincide. The cubic root of 824264081 is about 937.6097719404.

The spelling of 824264081 in words is "eight hundred twenty-four million, two hundred sixty-four thousand, eighty-one".