472185 has 24 divisors (see below), whose sum is σ = 936000. Its totient is φ = 215712.

The previous prime is 472163. The next prime is 472189. The reversal of 472185 is 581274.

It is not a de Polignac number, because 472185 - 2⁷ = 472057 is a prime.

It is an alternating number because its digits alternate between even and odd.

472185 is a lucky number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472185.

It is not an unprimeable number, because it can be changed into a prime (472189) by changing a digit.

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, 435 + ... + 1064.

It is an arithmetic number, because the mean of its divisors is an integer number (39000).

2⁴⁷²¹⁸⁵ is an apocalyptic number.

472185 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

472185 is a deficient number, since it is larger than the sum of its proper divisors (463815).

472185 is a wasteful number, since it uses less digits than its factorization.

472185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1514 counting only the distinct ones).

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

The square root of 472185 is about 687.1571872578. The cubic root of 472185 is about 77.8700993664.

The spelling of 472185 in words is "four hundred seventy-two thousand, one hundred eighty-five".