472653 has 6 divisors (see below), whose sum is σ = 682734. Its totient is φ = 315096.

The previous prime is 472643. The next prime is 472669. The reversal of 472653 is 356274.

It is a happy number.

472653 is a `hidden beast` number, since 4 + 7 + 2 + 653 = 666.

It can be written as a sum of positive squares in only one way, i.e., 393129 + 79524 = 627^2 + 282^2 .

It is not a de Polignac number, because 472653 - 2¹² = 468557 is a prime.

It is a d-powerful number, because it can be written as 4⁹ + 7 + 6⁴ + 2¹⁷ + 5⁷ + 3² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472643) 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 5 ways as a sum of consecutive naturals, for example, 26250 + ... + 26267.

It is an arithmetic number, because the mean of its divisors is an integer number (113789).

2⁴⁷²⁶⁵³ is an apocalyptic number.

It is an amenable number.

472653 is a deficient number, since it is larger than the sum of its proper divisors (210081).

472653 is a wasteful number, since it uses less digits than its factorization.

472653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52523 (or 52520 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 472653 is about 687.4976363596. The cubic root of 472653 is about 77.8958175157.

The spelling of 472653 in words is "four hundred seventy-two thousand, six hundred fifty-three".