217053 has 8 divisors (see below), whose sum is σ = 321600. Its totient is φ = 144684.

The previous prime is 217033. The next prime is 217057. The reversal of 217053 is 350712.

It is not a de Polignac number, because 217053 - 2¹⁶ = 151517 is a prime.

It is a super-2 number, since 2×217053² = 94224009618, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3993 + ... + 4046.

It is an arithmetic number, because the mean of its divisors is an integer number (40200).

2²¹⁷⁰⁵³ is an apocalyptic number.

It is an amenable number.

217053 is a deficient number, since it is larger than the sum of its proper divisors (104547).

217053 is an equidigital number, since it uses as much as digits as its factorization.

217053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048 (or 8042 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 217053 is about 465.8894718707. The cubic root of 217053 is about 60.0973419902.

Adding to 217053 its reverse (350712), we get a palindrome (567765).

The spelling of 217053 in words is "two hundred seventeen thousand, fifty-three".