52817 has 2 divisors, whose sum is σ = 52818. Its totient is φ = 52816.

The previous prime is 52813. The next prime is 52837. The reversal of 52817 is 71825.

52817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26896 + 25921 = 164^2 + 161^2 .

It is a cyclic number.

It is not a de Polignac number, because 52817 - 2² = 52813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52792 and 52801.

It is not a weakly prime, because it can be changed into another prime (52813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26408 + 26409.

It is an arithmetic number, because the mean of its divisors is an integer number (26409).

2⁵²⁸¹⁷ is an apocalyptic number.

It is an amenable number.

52817 is a deficient number, since it is larger than the sum of its proper divisors (1).

52817 is an equidigital number, since it uses as much as digits as its factorization.

52817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 560, while the sum is 23.

The square root of 52817 is about 229.8194943864. The cubic root of 52817 is about 37.5195749653.

It can be divided in two parts, 528 and 17, that added together give a palindrome (545).

The spelling of 52817 in words is "fifty-two thousand, eight hundred seventeen".