1005397241 has 2 divisors, whose sum is σ = 1005397242. Its totient is φ = 1005397240.

The previous prime is 1005397231. The next prime is 1005397277. The reversal of 1005397241 is 1427935001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 779526400 + 225870841 = 27920^2 + 15029^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005397241 is a prime.

It is a super-2 number, since 2×1005397241² = 2021647224420824162, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005397198 and 1005397207.

It is not a weakly prime, because it can be changed into another prime (1005397231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502698620 + 502698621.

It is an arithmetic number, because the mean of its divisors is an integer number (502698621).

Almost surely, 2^1005397241 is an apocalyptic number.

It is an amenable number.

1005397241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005397241 is an equidigital number, since it uses as much as digits as its factorization.

1005397241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1005397241 is about 31707.9996373155. Note that the first 3 decimals coincide. The cubic root of 1005397241 is about 1001.7958533136.

The spelling of 1005397241 in words is "one billion, five million, three hundred ninety-seven thousand, two hundred forty-one".