472797 has 20 divisors (see below), whose sum is σ = 762300. Its totient is φ = 290304.

The previous prime is 472793. The next prime is 472799. The reversal of 472797 is 797274.

It can be written as a sum of positive squares in 2 ways, for example, as 171396 + 301401 = 414^2 + 549^2 .

It is not a de Polignac number, because 472797 - 2² = 472793 is a prime.

472797 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472797.

It is not an unprimeable number, because it can be changed into a prime (472793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (38115).

2⁴⁷²⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

472797 is a deficient number, since it is larger than the sum of its proper divisors (289503).

472797 is a wasteful number, since it uses less digits than its factorization.

472797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 465 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 472797 is about 687.6023560169. The cubic root of 472797 is about 77.9037273769.

The spelling of 472797 in words is "four hundred seventy-two thousand, seven hundred ninety-seven".