506637 has 12 divisors (see below), whose sum is σ = 750204. Its totient is φ = 329280.

The previous prime is 506629. The next prime is 506647. The reversal of 506637 is 736605.

It can be written as a sum of positive squares in 2 ways, for example, as 281961 + 224676 = 531^2 + 474^2 .

It is not a de Polignac number, because 506637 - 2³ = 506629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506637.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (62517).

2⁵⁰⁶⁶³⁷ is an apocalyptic number.

It is an amenable number.

506637 is a deficient number, since it is larger than the sum of its proper divisors (243567).

506637 is a wasteful number, since it uses less digits than its factorization.

506637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 506637 is about 711.7843774627. The cubic root of 506637 is about 79.7196961020.

The spelling of 506637 in words is "five hundred six thousand, six hundred thirty-seven".