98013305 has 24 divisors (see below), whose sum is σ = 133712712. Its totient is φ = 68553216.

The previous prime is 98013277. The next prime is 98013317. The reversal of 98013305 is 50331089.

It can be written as a sum of positive squares in 4 ways, for example, as 13446889 + 84566416 = 3667^2 + 9196^2 .

It is not a de Polignac number, because 98013305 - 2²⁶ = 30904441 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21377 + ... + 25553.

It is an arithmetic number, because the mean of its divisors is an integer number (5571363).

Almost surely, 2^98013305 is an apocalyptic number.

98013305 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

98013305 is a deficient number, since it is larger than the sum of its proper divisors (35699407).

98013305 is a wasteful number, since it uses less digits than its factorization.

98013305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 98013305 is about 9900.1669177848. The cubic root of 98013305 is about 461.0644928382.

The spelling of 98013305 in words is "ninety-eight million, thirteen thousand, three hundred five".