217296 has 40 divisors (see below), whose sum is σ = 624960. Its totient is φ = 72288.

The previous prime is 217271. The next prime is 217307. The reversal of 217296 is 692712.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 181 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2²¹⁷²⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

217296 is an abundant number, since it is smaller than the sum of its proper divisors (407664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

217296 is a wasteful number, since it uses less digits than its factorization.

217296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 217296 is about 466.1501903893. The cubic root of 217296 is about 60.1197607968.

The spelling of 217296 in words is "two hundred seventeen thousand, two hundred ninety-six".