507645 has 24 divisors (see below), whose sum is σ = 912600. Its totient is φ = 260736.

The previous prime is 507641. The next prime is 507667. The reversal of 507645 is 546705.

It can be written as a sum of positive squares in 4 ways, for example, as 19044 + 488601 = 138^2 + 699^2 .

It is not a de Polignac number, because 507645 - 2² = 507641 is a prime.

507645 is a lucky number.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1111 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (38025).

2⁵⁰⁷⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

507645 is a deficient number, since it is larger than the sum of its proper divisors (404955).

507645 is a wasteful number, since it uses less digits than its factorization.

507645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 507645 is about 712.4921052194. The cubic root of 507645 is about 79.7725309191.

Subtracting 507645 from its reverse (546705), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 507645 in words is "five hundred seven thousand, six hundred forty-five".