472033 has 8 divisors (see below), whose sum is σ = 501480. Its totient is φ = 443520.

The previous prime is 472027. The next prime is 472051. The reversal of 472033 is 330274.

It can be written as a sum of positive squares in 4 ways, for example, as 20449 + 451584 = 143^2 + 672^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 472033 - 2⁹ = 471521 is a prime.

It is a Duffinian number.

472033 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 472033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472063) 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 7 ways as a sum of consecutive naturals, for example, 991 + ... + 1387.

It is an arithmetic number, because the mean of its divisors is an integer number (62685).

2⁴⁷²⁰³³ is an apocalyptic number.

472033 is the 397-th octagonal number.

It is an amenable number.

472033 is a deficient number, since it is larger than the sum of its proper divisors (29447).

472033 is a wasteful number, since it uses less digits than its factorization.

472033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 472033 is about 687.0465777515. The cubic root of 472033 is about 77.8617428074.

It can be divided in two parts, 4720 and 33, that added together give a triangular number (4753 = T₉₇).

The spelling of 472033 in words is "four hundred seventy-two thousand, thirty-three".