89217 has 12 divisors (see below), whose sum is σ = 134784. Its totient is φ = 56760.

The previous prime is 89213. The next prime is 89227. The reversal of 89217 is 71298.

It is not a de Polignac number, because 89217 - 2² = 89213 is a prime.

89217 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 89217.

It is not an unprimeable number, because it can be changed into a prime (89213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9 + ... + 422.

It is an arithmetic number, because the mean of its divisors is an integer number (11232).

2⁸⁹²¹⁷ is an apocalyptic number.

It is an amenable number.

89217 is a deficient number, since it is larger than the sum of its proper divisors (45567).

89217 is a wasteful number, since it uses less digits than its factorization.

89217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 457 counting only the distinct ones).

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

The square root of 89217 is about 298.6921492105. The cubic root of 89217 is about 44.6837080095.

Subtracting from 89217 its product of digits (1008), we obtain a square (88209 = 297²).

It can be divided in two parts, 892 and 17, that added together give a palindrome (909).

The spelling of 89217 in words is "eighty-nine thousand, two hundred seventeen".