506627 has 12 divisors (see below), whose sum is σ = 574560. Its totient is φ = 446160.

The previous prime is 506609. The next prime is 506629. The reversal of 506627 is 726605.

It is not a de Polignac number, because 506627 - 2⁶ = 506563 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506596 and 506605.

It is not an unprimeable number, because it can be changed into a prime (506629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6374 + ... + 6452.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2⁵⁰⁶⁶²⁷ is an apocalyptic number.

506627 is a deficient number, since it is larger than the sum of its proper divisors (67933).

506627 is a wasteful number, since it uses less digits than its factorization.

506627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 506627 is about 711.7773528288. Note that the first 3 decimals coincide. The cubic root of 506627 is about 79.7191715961.

The spelling of 506627 in words is "five hundred six thousand, six hundred twenty-seven".