472521 has 8 divisors (see below), whose sum is σ = 720064. Its totient is φ = 270000.

The previous prime is 472477. The next prime is 472523. The reversal of 472521 is 125274.

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

It is not a de Polignac number, because 472521 - 2⁶ = 472457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 22501 = 472521 / (4 + 7 + 2 + 5 + 2 + 1).

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

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472521.

It is not an unprimeable number, because it can be changed into a prime (472523) 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, 11230 + ... + 11271.

It is an arithmetic number, because the mean of its divisors is an integer number (90008).

2⁴⁷²⁵²¹ is an apocalyptic number.

It is an amenable number.

472521 is a deficient number, since it is larger than the sum of its proper divisors (247543).

472521 is a wasteful number, since it uses less digits than its factorization.

472521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22511.

The product of its digits is 560, while the sum is 21.

The square root of 472521 is about 687.4016293260. The cubic root of 472521 is about 77.8885653983. Note that the first 3 decimals are identical.

Adding to 472521 its reverse (125274), we get a palindrome (597795).

It can be divided in two parts, 4725 and 21, that multiplied together give a square (99225 = 315²).

The spelling of 472521 in words is "four hundred seventy-two thousand, five hundred twenty-one".