Search a number
-
+
685610593 is a prime number
BaseRepresentation
bin101000110111011…
…001011001100001
31202210002121220221
4220313121121201
52401004014333
6152011003041
722663410463
oct5067313141
91683077827
10685610593
11322011428
12171739481
13ac071955
14670b0133
15402cdd2d
hex28dd9661

685610593 has 2 divisors, whose sum is σ = 685610594. Its totient is φ = 685610592.

The previous prime is 685610587. The next prime is 685610603. The reversal of 685610593 is 395016586.

685610593 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., 684711889 + 898704 = 26167^2 + 948^2 .

It is a cyclic number.

It is not a de Polignac number, because 685610593 - 217 = 685479521 is a prime.

It is not a weakly prime, because it can be changed into another prime (685610543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 342805296 + 342805297.

It is an arithmetic number, because the mean of its divisors is an integer number (342805297).

Almost surely, 2685610593 is an apocalyptic number.

It is an amenable number.

685610593 is a deficient number, since it is larger than the sum of its proper divisors (1).

685610593 is an equidigital number, since it uses as much as digits as its factorization.

685610593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 43.

The square root of 685610593 is about 26184.1668379958. The cubic root of 685610593 is about 881.7778250831. Note that the first 3 decimals are identical.

The spelling of 685610593 in words is "six hundred eighty-five million, six hundred ten thousand, five hundred ninety-three".