1000085117 has 2 divisors, whose sum is σ = 1000085118. Its totient is φ = 1000085116.

The previous prime is 1000085101. The next prime is 1000085131. The reversal of 1000085117 is 7115800001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 698333476 + 301751641 = 26426^2 + 17371^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000085117 - 2⁴ = 1000085101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000085092 and 1000085101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000085417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500042558 + 500042559.

It is an arithmetic number, because the mean of its divisors is an integer number (500042559).

Almost surely, 2^1000085117 is an apocalyptic number.

It is an amenable number.

1000085117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000085117 is an equidigital number, since it uses as much as digits as its factorization.

1000085117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 23.

The square root of 1000085117 is about 31624.1223909850. The cubic root of 1000085117 is about 1000.0283715284.

Adding to 1000085117 its reverse (7115800001), we get a palindrome (8115885118).

The spelling of 1000085117 in words is "one billion, eighty-five thousand, one hundred seventeen".