507661 has 16 divisors (see below), whose sum is σ = 668160. Its totient is φ = 373680.

The previous prime is 507641. The next prime is 507667. The reversal of 507661 is 166705.

It is a cyclic number.

It is not a de Polignac number, because 507661 - 2⁹ = 507149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507667) 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 15 ways as a sum of consecutive naturals, for example, 1290 + ... + 1636.

It is an arithmetic number, because the mean of its divisors is an integer number (41760).

2⁵⁰⁷⁶⁶¹ is an apocalyptic number.

It is an amenable number.

507661 is a deficient number, since it is larger than the sum of its proper divisors (160499).

507661 is a wasteful number, since it uses less digits than its factorization.

507661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 507661 is about 712.5033333255. The cubic root of 507661 is about 79.7733690028.

The spelling of 507661 in words is "five hundred seven thousand, six hundred sixty-one".