523305 has 24 divisors (see below), whose sum is σ = 940680. Its totient is φ = 268800.

The previous prime is 523297. The next prime is 523307. The reversal of 523305 is 503325.

523305 = 65² + 66² + ... + 122².

It can be written as a sum of positive squares in 4 ways, for example, as 205209 + 318096 = 453^2 + 564^2 .

It is not a de Polignac number, because 523305 - 2³ = 523297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523307) 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, 1105 + ... + 1505.

It is an arithmetic number, because the mean of its divisors is an integer number (39195).

2⁵²³³⁰⁵ is an apocalyptic number.

It is an amenable number.

523305 is a deficient number, since it is larger than the sum of its proper divisors (417375).

523305 is a wasteful number, since it uses less digits than its factorization.

523305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 523305 is about 723.3982305757. The cubic root of 523305 is about 80.5845208736.

It can be divided in two parts, 523 and 305, that added together give a palindrome (828).

The spelling of 523305 in words is "five hundred twenty-three thousand, three hundred five".