523713 has 4 divisors (see below), whose sum is σ = 698288. Its totient is φ = 349140.

The previous prime is 523681. The next prime is 523717. The reversal of 523713 is 317325.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 523713 - 2⁵ = 523681 is a prime.

It is a D-number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 523713.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 523713.

It is not an unprimeable number, because it can be changed into a prime (523717) 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 3 ways as a sum of consecutive naturals, for example, 87283 + ... + 87288.

It is an arithmetic number, because the mean of its divisors is an integer number (174572).

2⁵²³⁷¹³ is an apocalyptic number.

It is an amenable number.

523713 is a deficient number, since it is larger than the sum of its proper divisors (174575).

523713 is a wasteful number, since it uses less digits than its factorization.

523713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174574.

The product of its digits is 630, while the sum is 21.

The square root of 523713 is about 723.6801779792. The cubic root of 523713 is about 80.6054582769.

The spelling of 523713 in words is "five hundred twenty-three thousand, seven hundred thirteen".