475821 has 8 divisors (see below), whose sum is σ = 704960. Its totient is φ = 317196.

The previous prime is 475807. The next prime is 475823. The reversal of 475821 is 128574.

It is not a de Polignac number, because 475821 - 2⁵ = 475789 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 17623 = 475821 / (4 + 7 + 5 + 8 + 2 + 1).

It is a Duffinian number.

475821 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8785 + ... + 8838.

It is an arithmetic number, because the mean of its divisors is an integer number (88120).

2⁴⁷⁵⁸²¹ is an apocalyptic number.

It is an amenable number.

475821 is a deficient number, since it is larger than the sum of its proper divisors (229139).

475821 is a wasteful number, since it uses less digits than its factorization.

475821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17632 (or 17626 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 475821 is about 689.7977964592. The cubic root of 475821 is about 78.0694647454.

It can be divided in two parts, 475 and 821, that added together give a 4-th power (1296 = 6⁴).

The spelling of 475821 in words is "four hundred seventy-five thousand, eight hundred twenty-one".