10821589 has 2 divisors, whose sum is σ = 10821590. Its totient is φ = 10821588.

The previous prime is 10821541. The next prime is 10821631. The reversal of 10821589 is 98512801.

10821589 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., 10614564 + 207025 = 3258^2 + 455^2 .

It is an emirp because it is prime and its reverse (98512801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10821589 - 2¹⁵ = 10788821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10821529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5410794 + 5410795.

It is an arithmetic number, because the mean of its divisors is an integer number (5410795).

Almost surely, 2^10821589 is an apocalyptic number.

It is an amenable number.

10821589 is a deficient number, since it is larger than the sum of its proper divisors (1).

10821589 is an equidigital number, since it uses as much as digits as its factorization.

10821589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 10821589 is about 3289.6183669234. The cubic root of 10821589 is about 221.1890781013.

The spelling of 10821589 in words is "ten million, eight hundred twenty-one thousand, five hundred eighty-nine".