861617 has 2 divisors, whose sum is σ = 861618. Its totient is φ = 861616.

The previous prime is 861613. The next prime is 861647. The reversal of 861617 is 716168.

861617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 732736 + 128881 = 856^2 + 359^2 .

It is a cyclic number.

It is not a de Polignac number, because 861617 - 2² = 861613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 861617.

It is not a weakly prime, because it can be changed into another prime (861613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 430808 + 430809.

It is an arithmetic number, because the mean of its divisors is an integer number (430809).

2⁸⁶¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

861617 is a deficient number, since it is larger than the sum of its proper divisors (1).

861617 is an equidigital number, since it uses as much as digits as its factorization.

861617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2016, while the sum is 29.

The square root of 861617 is about 928.2332680959. The cubic root of 861617 is about 95.1564182152.

It can be divided in two parts, 86161 and 7, that added together give a palindrome (86168).

The spelling of 861617 in words is "eight hundred sixty-one thousand, six hundred seventeen".