507647 has 8 divisors (see below), whose sum is σ = 592896. Its totient is φ = 425592.

The previous prime is 507641. The next prime is 507667. The reversal of 507647 is 746705.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 507647 - 2⁴ = 507631 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443 + ... + 1100.

It is an arithmetic number, because the mean of its divisors is an integer number (74112).

2⁵⁰⁷⁶⁴⁷ is an apocalyptic number.

507647 is a deficient number, since it is larger than the sum of its proper divisors (85249).

507647 is a wasteful number, since it uses less digits than its factorization.

507647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597.

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 507647 is about 712.4935087424. The cubic root of 507647 is about 79.7726356805.

The spelling of 507647 in words is "five hundred seven thousand, six hundred forty-seven".