10268821 has 2 divisors, whose sum is σ = 10268822. Its totient is φ = 10268820.

The previous prime is 10268809. The next prime is 10268827. The reversal of 10268821 is 12886201.

10268821 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5904900 + 4363921 = 2430^2 + 2089^2 .

It is a cyclic number.

It is not a de Polignac number, because 10268821 - 2⁵ = 10268789 is a prime.

It is the 3205-th Hogben number.

It is a self number, because there is not a number n which added to its sum of digits gives 10268821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10268827) by changing a digit.

It is a nontrivial repunit in base 3204.

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, 5134410 + 5134411.

It is an arithmetic number, because the mean of its divisors is an integer number (5134411).

Almost surely, 2^10268821 is an apocalyptic number.

It is an amenable number.

10268821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10268821 is an equidigital number, since it uses as much as digits as its factorization.

10268821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 10268821 is about 3204.5001170229. The cubic root of 10268821 is about 217.3569482559.

The spelling of 10268821 in words is "ten million, two hundred sixty-eight thousand, eight hundred twenty-one".