998617 has 2 divisors, whose sum is σ = 998618. Its totient is φ = 998616.

The previous prime is 998561. The next prime is 998623. The reversal of 998617 is 716899.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 913936 + 84681 = 956^2 + 291^2 .

It is an emirp because it is prime and its reverse (716899) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-998617 is a prime.

It is a super-3 number, since 3×998617³ = 2987570206265253339, which contains 333 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 998617.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (998687) 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, 499308 + 499309.

It is an arithmetic number, because the mean of its divisors is an integer number (499309).

2⁹⁹⁸⁶¹⁷ is an apocalyptic number.

It is an amenable number.

998617 is a deficient number, since it is larger than the sum of its proper divisors (1).

998617 is an equidigital number, since it uses as much as digits as its factorization.

998617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 40.

The square root of 998617 is about 999.3082607484. The cubic root of 998617 is about 99.9538787316.

The spelling of 998617 in words is "nine hundred ninety-eight thousand, six hundred seventeen".