956617 has 2 divisors, whose sum is σ = 956618. Its totient is φ = 956616.

The previous prime is 956587. The next prime is 956633. The reversal of 956617 is 716659.

956617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 741321 + 215296 = 861^2 + 464^2 .

It is an emirp because it is prime and its reverse (716659) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 956617 - 2¹⁵ = 923849 is a prime.

956617 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (950617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 478308 + 478309.

It is an arithmetic number, because the mean of its divisors is an integer number (478309).

2⁹⁵⁶⁶¹⁷ is an apocalyptic number.

It is an amenable number.

956617 is a deficient number, since it is larger than the sum of its proper divisors (1).

956617 is an equidigital number, since it uses as much as digits as its factorization.

956617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11340, while the sum is 34.

The square root of 956617 is about 978.0679935465. The cubic root of 956617 is about 98.5324688755.

The spelling of 956617 in words is "nine hundred fifty-six thousand, six hundred seventeen".