1082584121 has 2 divisors, whose sum is σ = 1082584122. Its totient is φ = 1082584120.

The previous prime is 1082584103. The next prime is 1082584169. The reversal of 1082584121 is 1214852801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 972753721 + 109830400 = 31189^2 + 10480^2 .

It is a cyclic number.

It is not a de Polignac number, because 1082584121 - 2¹⁴ = 1082567737 is a prime.

It is not a weakly prime, because it can be changed into another prime (1082584421) 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, 541292060 + 541292061.

It is an arithmetic number, because the mean of its divisors is an integer number (541292061).

Almost surely, 2^1082584121 is an apocalyptic number.

It is an amenable number.

1082584121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1082584121 is an equidigital number, since it uses as much as digits as its factorization.

1082584121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 1082584121 is about 32902.6461093937. The cubic root of 1082584121 is about 1026.8032097002.

The spelling of 1082584121 in words is "one billion, eighty-two million, five hundred eighty-four thousand, one hundred twenty-one".