98193 has 8 divisors (see below), whose sum is σ = 133056. Its totient is φ = 64400.

The previous prime is 98179. The next prime is 98207. The reversal of 98193 is 39189.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98179) and next prime (98207).

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

It is a cyclic number.

It is not a de Polignac number, because 98193 - 2⁶ = 98129 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 98193.

It is not an unprimeable number, because it can be changed into a prime (98123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2⁹⁸¹⁹³ is an apocalyptic number.

It is an amenable number.

98193 is a deficient number, since it is larger than the sum of its proper divisors (34863).

98193 is a wasteful number, since it uses less digits than its factorization.

98193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535.

The product of its digits is 1944, while the sum is 30.

The square root of 98193 is about 313.3576231720. The cubic root of 98193 is about 46.1346088632.

It can be divided in two parts, 9 and 8193, that multiplied together give a palindrome (73737).

The spelling of 98193 in words is "ninety-eight thousand, one hundred ninety-three".