472005 has 24 divisors (see below), whose sum is σ = 867672. Its totient is φ = 236544.

The previous prime is 471997. The next prime is 472019. The reversal of 472005 is 500274.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12321 + 459684 = 111^2 + 678^2 .

It is not a de Polignac number, because 472005 - 2³ = 471997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (36153).

2⁴⁷²⁰⁰⁵ is an apocalyptic number.

472005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

472005 is a deficient number, since it is larger than the sum of its proper divisors (395667).

472005 is a wasteful number, since it uses less digits than its factorization.

472005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 472005 is about 687.0262003738. The cubic root of 472005 is about 77.8602032456.

Adding to 472005 its reverse (500274), we get a palindrome (972279).

The spelling of 472005 in words is "four hundred seventy-two thousand, five".