8917001 has 2 divisors, whose sum is σ = 8917002. Its totient is φ = 8917000.

The previous prime is 8916977. The next prime is 8917009. The reversal of 8917001 is 1007198.

8917001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4734976 + 4182025 = 2176^2 + 2045^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8917001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (8917009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4458500 + 4458501.

It is an arithmetic number, because the mean of its divisors is an integer number (4458501).

Almost surely, 2^8917001 is an apocalyptic number.

It is an amenable number.

8917001 is a deficient number, since it is larger than the sum of its proper divisors (1).

8917001 is an equidigital number, since it uses as much as digits as its factorization.

8917001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 8917001 is about 2986.1347926710. The cubic root of 8917001 is about 207.3669810834.

The spelling of 8917001 in words is "eight million, nine hundred seventeen thousand, one".