517241 has 2 divisors, whose sum is σ = 517242. Its totient is φ = 517240.

The previous prime is 517229. The next prime is 517243. The reversal of 517241 is 142715.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 354025 + 163216 = 595^2 + 404^2 .

It is a cyclic number.

It is not a de Polignac number, because 517241 - 2⁶ = 517177 is a prime.

Together with 517243, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (517243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258620 + 258621.

It is an arithmetic number, because the mean of its divisors is an integer number (258621).

2⁵¹⁷²⁴¹ is an apocalyptic number.

It is an amenable number.

517241 is a deficient number, since it is larger than the sum of its proper divisors (1).

517241 is an equidigital number, since it uses as much as digits as its factorization.

517241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 280, while the sum is 20.

The square root of 517241 is about 719.1946885232. The cubic root of 517241 is about 80.2720426116.

Subtracting from 517241 its product of digits (280), we obtain a square (516961 = 719²).

Adding to 517241 its reverse (142715), we get a palindrome (659956).

The spelling of 517241 in words is "five hundred seventeen thousand, two hundred forty-one".