1007106817 has 2 divisors, whose sum is σ = 1007106818. Its totient is φ = 1007106816.

The previous prime is 1007106803. The next prime is 1007106829. The reversal of 1007106817 is 7186017001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 957531136 + 49575681 = 30944^2 + 7041^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1007106817 is a prime.

It is not a weakly prime, because it can be changed into another prime (1007104817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503553408 + 503553409.

It is an arithmetic number, because the mean of its divisors is an integer number (503553409).

Almost surely, 2^1007106817 is an apocalyptic number.

It is an amenable number.

1007106817 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007106817 is an equidigital number, since it uses as much as digits as its factorization.

1007106817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 31.

The square root of 1007106817 is about 31734.9463052957. The cubic root of 1007106817 is about 1002.3633491806.

The spelling of 1007106817 in words is "one billion, seven million, one hundred six thousand, eight hundred seventeen".