10583821 has 2 divisors, whose sum is σ = 10583822. Its totient is φ = 10583820.

The previous prime is 10583801. The next prime is 10583831. The reversal of 10583821 is 12838501.

10583821 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., 6702921 + 3880900 = 2589^2 + 1970^2 .

It is a cyclic number.

It is not a de Polignac number, because 10583821 - 2¹⁵ = 10551053 is a prime.

It is a super-2 number, since 2×10583821² = 224034533920082, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10583821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10583801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5291910 + 5291911.

It is an arithmetic number, because the mean of its divisors is an integer number (5291911).

Almost surely, 2^10583821 is an apocalyptic number.

It is an amenable number.

10583821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10583821 is an equidigital number, since it uses as much as digits as its factorization.

10583821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 10583821 is about 3253.2785002210. The cubic root of 10583821 is about 219.5571048474.

The spelling of 10583821 in words is "ten million, five hundred eighty-three thousand, eight hundred twenty-one".