475785 has 24 divisors (see below), whose sum is σ = 840840. Its totient is φ = 248832.

The previous prime is 475777. The next prime is 475789. The reversal of 475785 is 587574.

It can be written as a sum of positive squares in 4 ways, for example, as 71289 + 404496 = 267^2 + 636^2 .

It is not a de Polignac number, because 475785 - 2³ = 475777 is a prime.

It is a Curzon number.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 475785.

It is not an unprimeable number, because it can be changed into a prime (475789) 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, 4311 + ... + 4419.

It is an arithmetic number, because the mean of its divisors is an integer number (35035).

2⁴⁷⁵⁷⁸⁵ is an apocalyptic number.

475785 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

475785 is a deficient number, since it is larger than the sum of its proper divisors (365055).

475785 is a wasteful number, since it uses less digits than its factorization.

475785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 214 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 475785 is about 689.7717013621. The cubic root of 475785 is about 78.0674958176.

It can be divided in two parts, 47 and 5785, that added together give a cube (5832 = 18³).

The spelling of 475785 in words is "four hundred seventy-five thousand, seven hundred eighty-five".