10827821 has 2 divisors, whose sum is σ = 10827822. Its totient is φ = 10827820.

The previous prime is 10827811. The next prime is 10827833. The reversal of 10827821 is 12872801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10824100 + 3721 = 3290^2 + 61^2 .

It is a cyclic number.

It is not a de Polignac number, because 10827821 - 2¹⁸ = 10565677 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10827811) 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, 5413910 + 5413911.

It is an arithmetic number, because the mean of its divisors is an integer number (5413911).

Almost surely, 2^10827821 is an apocalyptic number.

It is an amenable number.

10827821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10827821 is an equidigital number, since it uses as much as digits as its factorization.

10827821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 10827821 is about 3290.5654529275. The cubic root of 10827821 is about 221.2315298401.

The spelling of 10827821 in words is "ten million, eight hundred twenty-seven thousand, eight hundred twenty-one".