1006637741 has 2 divisors, whose sum is σ = 1006637742. Its totient is φ = 1006637740.

The previous prime is 1006637729. The next prime is 1006637743. The reversal of 1006637741 is 1477366001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 984641641 + 21996100 = 31379^2 + 4690^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006637741 - 2¹⁰ = 1006636717 is a prime.

Together with 1006637743, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006637743) 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, 503318870 + 503318871.

It is an arithmetic number, because the mean of its divisors is an integer number (503318871).

Almost surely, 2^1006637741 is an apocalyptic number.

It is an amenable number.

1006637741 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006637741 is an equidigital number, since it uses as much as digits as its factorization.

1006637741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 1006637741 is about 31727.5549168227. The cubic root of 1006637741 is about 1002.2077027950.

The spelling of 1006637741 in words is "one billion, six million, six hundred thirty-seven thousand, seven hundred forty-one".