98993 has 2 divisors, whose sum is σ = 98994. Its totient is φ = 98992.

The previous prime is 98981. The next prime is 98999. The reversal of 98993 is 39989.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97969 + 1024 = 313^2 + 32^2 .

It is an emirp because it is prime and its reverse (39989) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 98993 - 2⁶ = 98929 is a prime.

It is a super-2 number, since 2×98993² = 19599228098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (98999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49496 + 49497.

It is an arithmetic number, because the mean of its divisors is an integer number (49497).

2⁹⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

98993 is a deficient number, since it is larger than the sum of its proper divisors (1).

98993 is an equidigital number, since it uses as much as digits as its factorization.

98993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17496, while the sum is 38.

The square root of 98993 is about 314.6315305242. The cubic root of 98993 is about 46.2595597478.

The spelling of 98993 in words is "ninety-eight thousand, nine hundred ninety-three".