517097 has 12 divisors (see below), whose sum is σ = 614916. Its totient is φ = 433440.

The previous prime is 517091. The next prime is 517129. The reversal of 517097 is 790715.

It can be written as a sum of positive squares in 2 ways, for example, as 226576 + 290521 = 476^2 + 539^2 .

It is not a de Polignac number, because 517097 - 2⁴ = 517081 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517091) 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 11 ways as a sum of consecutive naturals, for example, 2903 + ... + 3075.

It is an arithmetic number, because the mean of its divisors is an integer number (51243).

2⁵¹⁷⁰⁹⁷ is an apocalyptic number.

It is an amenable number.

517097 is a deficient number, since it is larger than the sum of its proper divisors (97819).

517097 is a wasteful number, since it uses less digits than its factorization.

517097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 29.

The square root of 517097 is about 719.0945695804. The cubic root of 517097 is about 80.2645926692.

The spelling of 517097 in words is "five hundred seventeen thousand, ninety-seven".