217020 has 24 divisors (see below), whose sum is σ = 607824. Its totient is φ = 57856.

The previous prime is 217003. The next prime is 217027. The reversal of 217020 is 20712.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 216987 and 217005.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 217020.

It is not an unprimeable number, because it can be changed into a prime (217027) by changing a digit.

217020 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 7 ways as a sum of consecutive naturals, for example, 1749 + ... + 1868.

It is an arithmetic number, because the mean of its divisors is an integer number (25326).

2²¹⁷⁰²⁰ is an apocalyptic number.

217020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217020 is an abundant number, since it is smaller than the sum of its proper divisors (390804).

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

217020 is a wasteful number, since it uses less digits than its factorization.

217020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3627 counting only the distinct ones).

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

The square root of 217020 is about 465.8540543990. The cubic root of 217020 is about 60.0942961707.

Adding to 217020 its reverse (20712), we get a palindrome (237732).

The spelling of 217020 in words is "two hundred seventeen thousand, twenty", and thus it is an iban number.