706417 has 2 divisors, whose sum is σ = 706418. Its totient is φ = 706416.

The previous prime is 706403. The next prime is 706427. The reversal of 706417 is 714607.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 553536 + 152881 = 744^2 + 391^2 .

It is a cyclic number.

It is not a de Polignac number, because 706417 - 2¹⁵ = 673649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 706391 and 706400.

It is not a weakly prime, because it can be changed into another prime (706427) 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, 353208 + 353209.

It is an arithmetic number, because the mean of its divisors is an integer number (353209).

2⁷⁰⁶⁴¹⁷ is an apocalyptic number.

It is an amenable number.

706417 is a deficient number, since it is larger than the sum of its proper divisors (1).

706417 is an equidigital number, since it uses as much as digits as its factorization.

706417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 706417 is about 840.4861688333. The cubic root of 706417 is about 89.0608933946.

The spelling of 706417 in words is "seven hundred six thousand, four hundred seventeen".