217000 has 64 divisors (see below), whose sum is σ = 599040. Its totient is φ = 72000.

The previous prime is 216991. The next prime is 217001. The reversal of 217000 is 712.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217001) by changing a digit.

217000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6985 + ... + 7015.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2²¹⁷⁰⁰⁰ is an apocalyptic number.

217000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299520).

217000 is an abundant number, since it is smaller than the sum of its proper divisors (382040).

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

217000 is a wasteful number, since it uses less digits than its factorization.

217000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 217000 is about 465.8325879541. The cubic root of 217000 is about 60.0924500692.

Adding to 217000 its reverse (712), we get a palindrome (217712).

It can be divided in two parts, 21 and 7000, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 217000 in words is "two hundred seventeen thousand", and thus it is an iban number.