98289 has 12 divisors (see below), whose sum is σ = 144976. Its totient is φ = 64152.

The previous prime is 98269. The next prime is 98297.

98289 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 98289 - 2⁵ = 98257 is a prime.

It is a Duffinian number.

It is a Curzon number.

98289 is a lucky number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (98269) 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 in 11 ways as a sum of consecutive naturals, for example, 522 + ... + 684.

2⁹⁸²⁸⁹ is an apocalyptic number.

It is an amenable number.

98289 is a deficient number, since it is larger than the sum of its proper divisors (46687).

98289 is a wasteful number, since it uses less digits than its factorization.

98289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 233 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 98289 is about 313.5107653654. The cubic root of 98289 is about 46.1496387190.

The spelling of 98289 in words is "ninety-eight thousand, two hundred eighty-nine".