1005112697 has 2 divisors, whose sum is σ = 1005112698. Its totient is φ = 1005112696.

The previous prime is 1005112681. The next prime is 1005112699. The reversal of 1005112697 is 7962115001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 956726761 + 48385936 = 30931^2 + 6956^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005112697 - 2⁴ = 1005112681 is a prime.

It is a super-2 number, since 2×1005112697² = 2020503067341227618, which contains 22 as substring.

Together with 1005112699, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1005112699) 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, 502556348 + 502556349.

It is an arithmetic number, because the mean of its divisors is an integer number (502556349).

Almost surely, 2^1005112697 is an apocalyptic number.

It is an amenable number.

1005112697 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005112697 is an equidigital number, since it uses as much as digits as its factorization.

1005112697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 32.

The square root of 1005112697 is about 31703.5123763914. The cubic root of 1005112697 is about 1001.7013361471.

Adding to 1005112697 its reverse (7962115001), we get a palindrome (8967227698).

The spelling of 1005112697 in words is "one billion, five million, one hundred twelve thousand, six hundred ninety-seven".