823133107 has 2 divisors, whose sum is σ = 823133108. Its totient is φ = 823133106.

The previous prime is 823133093. The next prime is 823133209. The reversal of 823133107 is 701331328.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-823133107 is a prime.

It is a super-2 number, since 2×823133107² = 1355096223678946898, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (823130107) 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, 411566553 + 411566554.

It is an arithmetic number, because the mean of its divisors is an integer number (411566554).

Almost surely, 2^823133107 is an apocalyptic number.

823133107 is a deficient number, since it is larger than the sum of its proper divisors (1).

823133107 is an equidigital number, since it uses as much as digits as its factorization.

823133107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 823133107 is about 28690.2963909403. The cubic root of 823133107 is about 937.1807437254.

The spelling of 823133107 in words is "eight hundred twenty-three million, one hundred thirty-three thousand, one hundred seven".