506979 has 20 divisors (see below), whose sum is σ = 827640. Its totient is φ = 306720.

The previous prime is 506963. The next prime is 506983. The reversal of 506979 is 979605.

It is not a de Polignac number, because 506979 - 2⁴ = 506963 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506979.

It is not an unprimeable number, because it can be changed into a prime (506929) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 607 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (41382).

2⁵⁰⁶⁹⁷⁹ is an apocalyptic number.

506979 is a deficient number, since it is larger than the sum of its proper divisors (320661).

506979 is a wasteful number, since it uses less digits than its factorization.

506979 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 506979 is about 712.0245782275. The cubic root of 506979 is about 79.7376300491.

It can be divided in two parts, 506 and 979, that added together give a triangular number (1485 = T₅₄).

The spelling of 506979 in words is "five hundred six thousand, nine hundred seventy-nine".