1002971141 has 2 divisors, whose sum is σ = 1002971142. Its totient is φ = 1002971140.

The previous prime is 1002971131. The next prime is 1002971147. The reversal of 1002971141 is 1411792001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 967521025 + 35450116 = 31105^2 + 5954^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002971141 - 2¹⁰ = 1002970117 is a prime.

It is a super-2 number, since 2×1002971141² = 2011902219357683762, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002971141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002971147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501485570 + 501485571.

It is an arithmetic number, because the mean of its divisors is an integer number (501485571).

Almost surely, 2^1002971141 is an apocalyptic number.

It is an amenable number.

1002971141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002971141 is an equidigital number, since it uses as much as digits as its factorization.

1002971141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 1002971141 is about 31669.7196230090. The cubic root of 1002971141 is about 1000.9894010960.

The spelling of 1002971141 in words is "one billion, two million, nine hundred seventy-one thousand, one hundred forty-one".