472825 has 6 divisors (see below), whose sum is σ = 586334. Its totient is φ = 378240.

The previous prime is 472817. The next prime is 472831. The reversal of 472825 is 528274.

It can be written as a sum of positive squares in 3 ways, for example, as 131769 + 341056 = 363^2 + 584^2 .

It is not a de Polignac number, because 472825 - 2³ = 472817 is a prime.

It is a Duffinian number.

472825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 472793 and 472802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9432 + ... + 9481.

2⁴⁷²⁸²⁵ is an apocalyptic number.

It is an amenable number.

472825 is a deficient number, since it is larger than the sum of its proper divisors (113509).

472825 is a wasteful number, since it uses less digits than its factorization.

472825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18923 (or 18918 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 472825 is about 687.6227163205. The cubic root of 472825 is about 77.9052652189.

It can be divided in two parts, 4728 and 25, that added together give a triangular number (4753 = T₉₇).

The spelling of 472825 in words is "four hundred seventy-two thousand, eight hundred twenty-five".