1005282721 has 2 divisors, whose sum is σ = 1005282722. Its totient is φ = 1005282720.

The previous prime is 1005282667. The next prime is 1005282737. The reversal of 1005282721 is 1272825001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 769230225 + 236052496 = 27735^2 + 15364^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005282721 - 2¹¹ = 1005280673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005282721.

It is not a weakly prime, because it can be changed into another prime (1005282791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502641360 + 502641361.

It is an arithmetic number, because the mean of its divisors is an integer number (502641361).

Almost surely, 2^1005282721 is an apocalyptic number.

It is an amenable number.

1005282721 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005282721 is an equidigital number, since it uses as much as digits as its factorization.

1005282721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 1005282721 is about 31706.1937324555. The cubic root of 1005282721 is about 1001.7578152750.

The spelling of 1005282721 in words is "one billion, five million, two hundred eighty-two thousand, seven hundred twenty-one".