217248 has 48 divisors (see below), whose sum is σ = 596736. Its totient is φ = 69120.

The previous prime is 217241. The next prime is 217253. The reversal of 217248 is 842712.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (217241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2940 + ... + 3012.

It is an arithmetic number, because the mean of its divisors is an integer number (12432).

2²¹⁷²⁴⁸ 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 217248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298368).

217248 is an abundant number, since it is smaller than the sum of its proper divisors (379488).

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

217248 is a wasteful number, since it uses less digits than its factorization.

217248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 217248 is about 466.0987019935. The cubic root of 217248 is about 60.1153337157.

It can be divided in two parts, 217 and 248, that added together give a triangular number (465 = T₃₀).

The spelling of 217248 in words is "two hundred seventeen thousand, two hundred forty-eight".