8002117 has 2 divisors, whose sum is σ = 8002118. Its totient is φ = 8002116.

The previous prime is 8002103. The next prime is 8002151. The reversal of 8002117 is 7112008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7918596 + 83521 = 2814^2 + 289^2 .

It is a cyclic number.

It is not a de Polignac number, because 8002117 - 2¹⁵ = 7969349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8002094 and 8002103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8002177) 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, 4001058 + 4001059.

It is an arithmetic number, because the mean of its divisors is an integer number (4001059).

Almost surely, 2^8002117 is an apocalyptic number.

It is an amenable number.

8002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

8002117 is an equidigital number, since it uses as much as digits as its factorization.

8002117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 8002117 is about 2828.8013362553. The cubic root of 8002117 is about 200.0176401108.

The spelling of 8002117 in words is "eight million, two thousand, one hundred seventeen".