517965 has 16 divisors (see below), whose sum is σ = 947328. Its totient is φ = 236736.

The previous prime is 517949. The next prime is 517967. The reversal of 517965 is 569715.

It is not a de Polignac number, because 517965 - 2⁴ = 517949 is a prime.

It is an Ulam number.

517965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517967) 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 15 ways as a sum of consecutive naturals, for example, 2362 + ... + 2571.

It is an arithmetic number, because the mean of its divisors is an integer number (59208).

2⁵¹⁷⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

517965 is a deficient number, since it is larger than the sum of its proper divisors (429363).

517965 is a wasteful number, since it uses less digits than its factorization.

517965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948.

The product of its digits is 9450, while the sum is 33.

The square root of 517965 is about 719.6978532690. The cubic root of 517965 is about 80.3094783291.

The spelling of 517965 in words is "five hundred seventeen thousand, nine hundred sixty-five".