217002 has 16 divisors (see below), whose sum is σ = 442080. Its totient is φ = 70992.

The previous prime is 217001. The next prime is 217003. The reversal of 217002 is 200712.

It is an interprime number because it is at equal distance from previous prime (217001) and next prime (217003).

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 217002.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (27630).

2²¹⁷⁰⁰² is an apocalyptic number.

217002 is an abundant number, since it is smaller than the sum of its proper divisors (225078).

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

217002 is a wasteful number, since it uses less digits than its factorization.

217002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 217002 is about 465.8347346431. The cubic root of 217002 is about 60.0926346844.

Adding to 217002 its reverse (200712), we get a palindrome (417714).

Subtracting from 217002 its reverse (200712), we obtain a triangular number (16290 = T₁₈₀).

The spelling of 217002 in words is "two hundred seventeen thousand, two", and thus it is an iban number.