98505 has 24 divisors (see below), whose sum is σ = 187200. Its totient is φ = 47520.

The previous prime is 98491. The next prime is 98507. The reversal of 98505 is 50589.

It is not a de Polignac number, because 98505 - 2⁵ = 98473 is a prime.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98505.

It is not an unprimeable number, because it can be changed into a prime (98507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396 + ... + 594.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2⁹⁸⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

98505 is a deficient number, since it is larger than the sum of its proper divisors (88695).

98505 is a wasteful number, since it uses less digits than its factorization.

98505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 98505 is about 313.8550620908. The cubic root of 98505 is about 46.1834201484.

The spelling of 98505 in words is "ninety-eight thousand, five hundred five".