98345 has 16 divisors (see below), whose sum is σ = 136080. Its totient is φ = 67584.

The previous prime is 98327. The next prime is 98347. The reversal of 98345 is 54389.

It can be written as a sum of positive squares in 8 ways, for example, as 7744 + 90601 = 88^2 + 301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-98345 is a prime.

It is a d-powerful number, because it can be written as 9 + 8³ + 3⁹ + 4² + 5⁷ .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1061 + ... + 1149.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

2⁹⁸³⁴⁵ is an apocalyptic number.

It is an amenable number.

98345 is a deficient number, since it is larger than the sum of its proper divisors (37735).

98345 is a wasteful number, since it uses less digits than its factorization.

98345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

The product of its digits is 4320, while the sum is 29.

The square root of 98345 is about 313.6000637755. The cubic root of 98345 is about 46.1584016159.

Subtracting from 98345 its reverse (54389), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 98345 in words is "ninety-eight thousand, three hundred forty-five".