98305 has 4 divisors (see below), whose sum is σ = 117972. Its totient is φ = 78640.

The previous prime is 98299. The next prime is 98317. The reversal of 98305 is 50389.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 50389 = 41 ⋅1229.

It can be written as a sum of positive squares in 2 ways, for example, as 44944 + 53361 = 212^2 + 231^2 .

It is not a de Polignac number, because 98305 - 2³ = 98297 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

98305 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 98305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9826 + ... + 9835.

It is an arithmetic number, because the mean of its divisors is an integer number (29493).

98305 is a Friedman number, since it can be written as 9^0+8^5*3, using all its digits and the basic arithmetic operations.

It is a Proth number, since it is equal to 3 ⋅ 2¹⁵ + 1 and 3 < 2¹⁵.

2⁹⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

98305 is a deficient number, since it is larger than the sum of its proper divisors (19667).

98305 is a wasteful number, since it uses less digits than its factorization.

98305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19666.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 98305 is about 313.5362817921. The cubic root of 98305 is about 46.1521427434.

It can be divided in two parts, 98 and 305, that multiplied together give a triangular number (29890 = T₂₄₄).

The spelling of 98305 in words is "ninety-eight thousand, three hundred five".