472817 has 2 divisors, whose sum is σ = 472818. Its totient is φ = 472816.

The previous prime is 472799. The next prime is 472831. The reversal of 472817 is 718274.

472817 is nontrivially palindromic in base 8.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414736 + 58081 = 644^2 + 241^2 .

It is a cyclic number.

It is not a de Polignac number, because 472817 - 2⁸ = 472561 is a prime.

It is a Chen prime.

It is an Ulam number.

It is equal to p₃₉₄₄₉ and since 472817 and 39449 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 472817.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472817.

It is not a weakly prime, because it can be changed into another prime (472837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 236408 + 236409.

It is an arithmetic number, because the mean of its divisors is an integer number (236409).

2⁴⁷²⁸¹⁷ is an apocalyptic number.

It is an amenable number.

472817 is a deficient number, since it is larger than the sum of its proper divisors (1).

472817 is an equidigital number, since it uses as much as digits as its factorization.

472817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3136, while the sum is 29.

The square root of 472817 is about 687.6168991524. The cubic root of 472817 is about 77.9048258417.

The spelling of 472817 in words is "four hundred seventy-two thousand, eight hundred seventeen".