506777 has 4 divisors (see below), whose sum is σ = 509220. Its totient is φ = 504336.

The previous prime is 506773. The next prime is 506783. The reversal of 506777 is 777605.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 777605 = 5 ⋅155521.

It can be written as a sum of positive squares in 2 ways, for example, as 491401 + 15376 = 701^2 + 124^2 .

It is a cyclic number.

It is not a de Polignac number, because 506777 - 2² = 506773 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506773) 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 3 ways as a sum of consecutive naturals, for example, 878 + ... + 1335.

It is an arithmetic number, because the mean of its divisors is an integer number (127305).

2⁵⁰⁶⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

506777 is a deficient number, since it is larger than the sum of its proper divisors (2443).

506777 is a wasteful number, since it uses less digits than its factorization.

506777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442.

The product of its (nonzero) digits is 10290, while the sum is 32.

The square root of 506777 is about 711.8827150592. The cubic root of 506777 is about 79.7270384592.

The spelling of 506777 in words is "five hundred six thousand, seven hundred seventy-seven".