98005 has 8 divisors (see below), whose sum is σ = 124632. Its totient is φ = 73728.

The previous prime is 97987. The next prime is 98009. The reversal of 98005 is 50089.

It can be written as a sum of positive squares in 4 ways, for example, as 33489 + 64516 = 183^2 + 254^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 7-Lehmer number, since φ(98005) divides (98005-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 98005 - 2⁵ = 97973 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492 + ... + 661.

It is an arithmetic number, because the mean of its divisors is an integer number (15579).

2⁹⁸⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

98005 is a deficient number, since it is larger than the sum of its proper divisors (26627).

98005 is a wasteful number, since it uses less digits than its factorization.

98005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 98005 is about 313.0575027052. The cubic root of 98005 is about 46.1051469951.

The spelling of 98005 in words is "ninety-eight thousand, five".