517979 has 18 divisors (see below), whose sum is σ = 679212. Its totient is φ = 390600.

The previous prime is 517967. The next prime is 517981. The reversal of 517979 is 979715.

It is not a de Polignac number, because 517979 - 2¹⁶ = 452443 is a prime.

It is a Duffinian number.

Its product of digits (19845) is a multiple of the sum of its prime divisors (49).

It is not an unprimeable number, because it can be changed into a prime (517919) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16694 + ... + 16724.

It is an arithmetic number, because the mean of its divisors is an integer number (37734).

2⁵¹⁷⁹⁷⁹ is an apocalyptic number.

517979 is a deficient number, since it is larger than the sum of its proper divisors (161233).

517979 is a wasteful number, since it uses less digits than its factorization.

517979 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 49 counting only the distinct ones).

The product of its digits is 19845, while the sum is 38.

The square root of 517979 is about 719.7075795071. The cubic root of 517979 is about 80.3102018803.

Adding to 517979 its product of digits (19845), we get a 5-th power (537824 = 14⁵).

The spelling of 517979 in words is "five hundred seventeen thousand, nine hundred seventy-nine".