473585 has 12 divisors (see below), whose sum is σ = 661428. Its totient is φ = 324576.

The previous prime is 473579. The next prime is 473597. The reversal of 473585 is 585374.

473585 = 15² + 16² + ... + 112².

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 247009 + 226576 = 497^2 + 476^2 .

It is not a de Polignac number, because 473585 - 2¹⁰ = 472561 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 473585.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 722 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (55119).

2⁴⁷³⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

473585 is a deficient number, since it is larger than the sum of its proper divisors (187843).

473585 is a wasteful number, since it uses less digits than its factorization.

473585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1945 counting only the distinct ones).

The product of its digits is 16800, while the sum is 32.

The square root of 473585 is about 688.1751230610. The cubic root of 473585 is about 77.9469834776.

The spelling of 473585 in words is "four hundred seventy-three thousand, five hundred eighty-five".