505307 has 8 divisors (see below), whose sum is σ = 559872. Its totient is φ = 452200.

The previous prime is 505301. The next prime is 505313. The reversal of 505307 is 703505.

It is an interprime number because it is at equal distance from previous prime (505301) and next prime (505313).

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 505307 - 2⁸ = 505051 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505307.

It is not an unprimeable number, because it can be changed into a prime (505301) 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, 458 + ... + 1104.

It is an arithmetic number, because the mean of its divisors is an integer number (69984).

2⁵⁰⁵³⁰⁷ is an apocalyptic number.

505307 is a deficient number, since it is larger than the sum of its proper divisors (54565).

505307 is a wasteful number, since it uses less digits than its factorization.

505307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729.

The product of its (nonzero) digits is 525, while the sum is 20.

The square root of 505307 is about 710.8494918054. The cubic root of 505307 is about 79.6498761516.

The spelling of 505307 in words is "five hundred five thousand, three hundred seven".