823964107 has 2 divisors, whose sum is σ = 823964108. Its totient is φ = 823964106.

The previous prime is 823964101. The next prime is 823964117. The reversal of 823964107 is 701469328.

823964107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 823964107 - 2¹¹ = 823962059 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 823964107.

It is not a weakly prime, because it can be changed into another prime (823964101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411982053 + 411982054.

It is an arithmetic number, because the mean of its divisors is an integer number (411982054).

Almost surely, 2^823964107 is an apocalyptic number.

823964107 is a deficient number, since it is larger than the sum of its proper divisors (1).

823964107 is an equidigital number, since it uses as much as digits as its factorization.

823964107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 823964107 is about 28704.7749860541. The cubic root of 823964107 is about 937.4960168601.

The spelling of 823964107 in words is "eight hundred twenty-three million, nine hundred sixty-four thousand, one hundred seven".