507712 has 14 divisors (see below), whose sum is σ = 1007618. Its totient is φ = 253824.

The previous prime is 507697. The next prime is 507713. The reversal of 507712 is 217705.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 118336 = 624^2 + 344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507713) by changing a digit.

507712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 3903 + ... + 4030.

2⁵⁰⁷⁷¹² is an apocalyptic number.

It is an amenable number.

507712 is a deficient number, since it is larger than the sum of its proper divisors (499906).

507712 is an equidigital number, since it uses as much as digits as its factorization.

507712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7945 (or 7935 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 507712 is about 712.5391217330. The cubic root of 507712 is about 79.7760402773.

The spelling of 507712 in words is "five hundred seven thousand, seven hundred twelve".