488617 has 2 divisors, whose sum is σ = 488618. Its totient is φ = 488616.

The previous prime is 488611. The next prime is 488627. The reversal of 488617 is 716884.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 488601 + 16 = 699^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 488617 - 2¹¹ = 486569 is a prime.

It is a super-3 number, since 3×488617³ = 349966902322743339, which contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (488611) 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 as a sum of consecutive naturals, namely, 244308 + 244309.

It is an arithmetic number, because the mean of its divisors is an integer number (244309).

2⁴⁸⁸⁶¹⁷ is an apocalyptic number.

It is an amenable number.

488617 is a deficient number, since it is larger than the sum of its proper divisors (1).

488617 is an equidigital number, since it uses as much as digits as its factorization.

488617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10752, while the sum is 34.

The square root of 488617 is about 699.0114448276. The cubic root of 488617 is about 78.7631102721.

The spelling of 488617 in words is "four hundred eighty-eight thousand, six hundred seventeen".