473733 has 12 divisors (see below), whose sum is σ = 737100. Its totient is φ = 291456.

The previous prime is 473729. The next prime is 473741. The reversal of 473733 is 337374.

It can be written as a sum of positive squares in 2 ways, for example, as 91809 + 381924 = 303^2 + 618^2 .

It is not a de Polignac number, because 473733 - 2² = 473729 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 473697 and 473706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1908 + ... + 2141.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

2⁴⁷³⁷³³ is an apocalyptic number.

It is an amenable number.

473733 is a deficient number, since it is larger than the sum of its proper divisors (263367).

473733 is a wasteful number, since it uses less digits than its factorization.

473733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4065 counting only the distinct ones).

The product of its digits is 5292, while the sum is 27.

The square root of 473733 is about 688.2826454299. The cubic root of 473733 is about 77.9551023665.

It can be divided in two parts, 4 and 73733, that added together give a palindrome (73737).

The spelling of 473733 in words is "four hundred seventy-three thousand, seven hundred thirty-three".