98689 has 2 divisors, whose sum is σ = 98690. Its totient is φ = 98688.

The previous prime is 98669. The next prime is 98711.

98689 = T₂₅₅ + T₂₅₆ + T₂₅₇.

It is a happy number.

98689 is nontrivially palindromic in base 10 and base 16.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87025 + 11664 = 295^2 + 108^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 98689 - 2⁷ = 98561 is a prime.

98689 is an undulating number in base 16.

98689 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (98639) 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, 49344 + 49345.

It is an arithmetic number, because the mean of its divisors is an integer number (49345).

2⁹⁸⁶⁸⁹ is an apocalyptic number.

98689 is the 257-th centered triangular number.

It is an amenable number.

98689 is a deficient number, since it is larger than the sum of its proper divisors (1).

98689 is an equidigital number, since it uses as much as digits as its factorization.

98689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 40.

The square root of 98689 is about 314.1480542674. The cubic root of 98689 is about 46.2121579916.

It can be divided in two parts, 98 and 689, that added together give a palindrome (787).

The spelling of 98689 in words is "ninety-eight thousand, six hundred eighty-nine".