472617 has 12 divisors (see below), whose sum is σ = 723060. Its totient is φ = 296448.

The previous prime is 472597. The next prime is 472631. The reversal of 472617 is 716274.

472617 is a `hidden beast` number, since 47 + 2 + 617 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 404496 + 68121 = 636^2 + 261^2 .

It is not a de Polignac number, because 472617 - 2¹⁰ = 471593 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472617.

It is not an unprimeable number, because it can be changed into a prime (472687) 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, 1392 + ... + 1697.

It is an arithmetic number, because the mean of its divisors is an integer number (60255).

2⁴⁷²⁶¹⁷ is an apocalyptic number.

It is an amenable number.

472617 is a deficient number, since it is larger than the sum of its proper divisors (250443).

472617 is a wasteful number, since it uses less digits than its factorization.

472617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3109 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 472617 is about 687.4714539528. The cubic root of 472617 is about 77.8938397994.

It can be divided in two parts, 472 and 617, that added together give a square (1089 = 33²).

The spelling of 472617 in words is "four hundred seventy-two thousand, six hundred seventeen".