475713 has 20 divisors (see below), whose sum is σ = 813120. Its totient is φ = 271512.

The previous prime is 475697. The next prime is 475721. The reversal of 475713 is 317574.

475713 = 17³ + 18³ + ... + 37³.

It is not a de Polignac number, because 475713 - 2⁴ = 475697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

475713 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (475753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (40656).

2⁴⁷⁵⁷¹³ is an apocalyptic number.

It is an amenable number.

475713 is a deficient number, since it is larger than the sum of its proper divisors (337407).

475713 is an equidigital number, since it uses as much as digits as its factorization.

475713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 849 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 475713 is about 689.7195082061. The cubic root of 475713 is about 78.0635576639.

It can be divided in two parts, 47571 and 3, that added together give a palindrome (47574).

The spelling of 475713 in words is "four hundred seventy-five thousand, seven hundred thirteen".