505701 has 24 divisors (see below), whose sum is σ = 873600. Its totient is φ = 275616.

The previous prime is 505693. The next prime is 505709. The reversal of 505701 is 107505.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (505693) and next prime (505709).

It is not a de Polignac number, because 505701 - 2³ = 505693 is a prime.

505701 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505701.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1275 + ... + 1623.

It is an arithmetic number, because the mean of its divisors is an integer number (36400).

2⁵⁰⁵⁷⁰¹ is an apocalyptic number.

It is an amenable number.

505701 is a deficient number, since it is larger than the sum of its proper divisors (367899).

505701 is a wasteful number, since it uses less digits than its factorization.

505701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 505701 is about 711.1265710125. The cubic root of 505701 is about 79.6705724136.

The spelling of 505701 in words is "five hundred five thousand, seven hundred one".