217052 has 12 divisors (see below), whose sum is σ = 414456. Its totient is φ = 98640.

The previous prime is 217033. The next prime is 217057. The reversal of 217052 is 250712.

It is a super-3 number, since 3×217052³ = 30676981933333824, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 217052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217057) by changing a digit.

217052 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 3 ways as a sum of consecutive naturals, for example, 2423 + ... + 2510.

It is an arithmetic number, because the mean of its divisors is an integer number (34538).

2²¹⁷⁰⁵² is an apocalyptic number.

217052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

217052 is a deficient number, since it is larger than the sum of its proper divisors (197404).

217052 is a wasteful number, since it uses less digits than its factorization.

217052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 217052 is about 465.8883986536. Note that the first 3 decimals coincide. The cubic root of 217052 is about 60.0972496972.

Adding to 217052 its reverse (250712), we get a palindrome (467764).

It can be divided in two parts, 2170 and 52, that added together give a palindrome (2222).

The spelling of 217052 in words is "two hundred seventeen thousand, fifty-two".