859361 has 2 divisors, whose sum is σ = 859362. Its totient is φ = 859360.

The previous prime is 859321. The next prime is 859363. The reversal of 859361 is 163958.

859361 = 655² + 656².

859361 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., 430336 + 429025 = 656^2 + 655^2 .

It is a cyclic number.

It is not a de Polignac number, because 859361 - 2⁶ = 859297 is a prime.

It is a Sophie Germain prime.

Together with 859363, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (859363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 429680 + 429681.

It is an arithmetic number, because the mean of its divisors is an integer number (429681).

2⁸⁵⁹³⁶¹ is an apocalyptic number.

859361 is the 656-th centered square number.

It is an amenable number.

859361 is a deficient number, since it is larger than the sum of its proper divisors (1).

859361 is an equidigital number, since it uses as much as digits as its factorization.

859361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6480, while the sum is 32.

The square root of 859361 is about 927.0172598177. The cubic root of 859361 is about 95.0732952366.

Subtracting from 859361 its sum of digits (32), we obtain a square (859329 = 927²).

The spelling of 859361 in words is "eight hundred fifty-nine thousand, three hundred sixty-one".