98217 has 12 divisors (see below), whose sum is σ = 162240. Its totient is φ = 56088.

The previous prime is 98213. The next prime is 98221. The reversal of 98217 is 71289.

It is an interprime number because it is at equal distance from previous prime (98213) and next prime (98221).

It is not a de Polignac number, because 98217 - 2² = 98213 is a prime.

98217 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98217.

It is not an unprimeable number, because it can be changed into a prime (98213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 717 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (13520).

2⁹⁸²¹⁷ is an apocalyptic number.

It is an amenable number.

98217 is a deficient number, since it is larger than the sum of its proper divisors (64023).

98217 is a wasteful number, since it uses less digits than its factorization.

98217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1569 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 98217 is about 313.3959157360. The cubic root of 98217 is about 46.1383672452.

Adding to 98217 its product of digits (1008), we get a square (99225 = 315²).

It can be divided in two parts, 982 and 17, that added together give a palindrome (999).

The spelling of 98217 in words is "ninety-eight thousand, two hundred seventeen".