472833 has 12 divisors (see below), whose sum is σ = 690768. Its totient is φ = 311640.

The previous prime is 472831. The next prime is 472837. The reversal of 472833 is 338274.

It is not a de Polignac number, because 472833 - 2¹ = 472831 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 472797 and 472806.

It is not an unprimeable number, because it can be changed into a prime (472831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 718 + ... + 1208.

It is an arithmetic number, because the mean of its divisors is an integer number (57564).

2⁴⁷²⁸³³ is an apocalyptic number.

It is an amenable number.

472833 is a deficient number, since it is larger than the sum of its proper divisors (217935).

472833 is a wasteful number, since it uses less digits than its factorization.

472833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 601 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 472833 is about 687.6285334394. The cubic root of 472833 is about 77.9057045912.

It can be divided in two parts, 4728 and 33, that added together give a square (4761 = 69²).

The spelling of 472833 in words is "four hundred seventy-two thousand, eight hundred thirty-three".