505707 has 8 divisors (see below), whose sum is σ = 681360. Its totient is φ = 333600.

The previous prime is 505693. The next prime is 505709. The reversal of 505707 is 707505.

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

It is not a de Polignac number, because 505707 - 2⁴ = 505691 is a prime.

505707 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505707.

It is not an unprimeable number, because it can be changed into a prime (505709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532 + ... + 1137.

It is an arithmetic number, because the mean of its divisors is an integer number (85170).

2⁵⁰⁵⁷⁰⁷ is an apocalyptic number.

505707 is a deficient number, since it is larger than the sum of its proper divisors (175653).

505707 is a wasteful number, since it uses less digits than its factorization.

505707 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773.

The product of its (nonzero) digits is 1225, while the sum is 24.

The square root of 505707 is about 711.1307896583. The cubic root of 505707 is about 79.6708875020.

The spelling of 505707 in words is "five hundred five thousand, seven hundred seven".