821133105 has 64 divisors (see below), whose sum is σ = 1449197568. Its totient is φ = 394571520.

The previous prime is 821133101. The next prime is 821133109. The reversal of 821133105 is 501331128.

It is an interprime number because it is at equal distance from previous prime (821133101) and next prime (821133109).

It is not a de Polignac number, because 821133105 - 2² = 821133101 is a prime.

It is a super-2 number, since 2×821133105² = 1348519152253882050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (821133101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1758082 + ... + 1758548.

It is an arithmetic number, because the mean of its divisors is an integer number (22643712).

Almost surely, 2^821133105 is an apocalyptic number.

It is an amenable number.

821133105 is a deficient number, since it is larger than the sum of its proper divisors (628064463).

821133105 is a wasteful number, since it uses less digits than its factorization.

821133105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 821133105 is about 28655.4201679194. The cubic root of 821133105 is about 936.4210919865.

The spelling of 821133105 in words is "eight hundred twenty-one million, one hundred thirty-three thousand, one hundred five".