1005727241 has 2 divisors, whose sum is σ = 1005727242. Its totient is φ = 1005727240.

The previous prime is 1005727207. The next prime is 1005727267. The reversal of 1005727241 is 1427275001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 941262400 + 64464841 = 30680^2 + 8029^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005727241 - 2¹⁰ = 1005726217 is a prime.

It is a super-2 number, since 2×1005727241² = 2022974566578944162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005727201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502863620 + 502863621.

It is an arithmetic number, because the mean of its divisors is an integer number (502863621).

Almost surely, 2^1005727241 is an apocalyptic number.

It is an amenable number.

1005727241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005727241 is an equidigital number, since it uses as much as digits as its factorization.

1005727241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 1005727241 is about 31713.2029445151. The cubic root of 1005727241 is about 1001.9054472979.

The spelling of 1005727241 in words is "one billion, five million, seven hundred twenty-seven thousand, two hundred forty-one".