53217 has 14 divisors (see below), whose sum is σ = 80882. Its totient is φ = 34992.

The previous prime is 53201. The next prime is 53231. The reversal of 53217 is 71235.

53217 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 6561 = 216^2 + 81^2 .

It is not a de Polignac number, because 53217 - 2⁴ = 53201 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 53217.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53217.

It is not an unprimeable number, because it can be changed into a prime (53267) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 693 + ... + 765.

2⁵³²¹⁷ is an apocalyptic number.

It is an amenable number.

53217 is a deficient number, since it is larger than the sum of its proper divisors (27665).

53217 is an frugal number, since it uses more digits than its factorization.

53217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

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

The square root of 53217 is about 230.6881011236. The cubic root of 53217 is about 37.6140527674.

Adding to 53217 its sum of digits (18), we get a palindrome (53235).

The spelling of 53217 in words is "fifty-three thousand, two hundred seventeen".