98713 has 2 divisors, whose sum is σ = 98714. Its totient is φ = 98712.

The previous prime is 98711. The next prime is 98717. The reversal of 98713 is 31789.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 1369 = 312^2 + 37^2 .

It is a cyclic number.

It is not a de Polignac number, because 98713 - 2¹ = 98711 is a prime.

Together with 98711, it forms a pair of twin primes.

98713 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (98711) 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, 49356 + 49357.

It is an arithmetic number, because the mean of its divisors is an integer number (49357).

2⁹⁸⁷¹³ is an apocalyptic number.

It is an amenable number.

98713 is a deficient number, since it is larger than the sum of its proper divisors (1).

98713 is an equidigital number, since it uses as much as digits as its factorization.

98713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 28.

The square root of 98713 is about 314.1862504948. The cubic root of 98713 is about 46.2159037718.

It can be divided in two parts, 987 and 13, that added together give a cube (1000 = 10³).

The spelling of 98713 in words is "ninety-eight thousand, seven hundred thirteen".