472205 has 4 divisors (see below), whose sum is σ = 566652. Its totient is φ = 377760.

The previous prime is 472193. The next prime is 472247. The reversal of 472205 is 502274.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 316969 + 155236 = 563^2 + 394^2 .

It is not a de Polignac number, because 472205 - 2⁴ = 472189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472205.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47216 + ... + 47225.

It is an arithmetic number, because the mean of its divisors is an integer number (141663).

2⁴⁷²²⁰⁵ is an apocalyptic number.

It is an amenable number.

472205 is a deficient number, since it is larger than the sum of its proper divisors (94447).

472205 is an equidigital number, since it uses as much as digits as its factorization.

472205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94446.

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 472205 is about 687.1717398147. The cubic root of 472205 is about 77.8711987801.

Adding to 472205 its reverse (502274), we get a palindrome (974479).

The spelling of 472205 in words is "four hundred seventy-two thousand, two hundred five".