Search a number
-
+
677861857 is a prime number
BaseRepresentation
bin101000011001110…
…101100111100001
31202020111221122201
4220121311213201
52342013034412
6151132533201
722540505431
oct5031654741
91666457581
10677861857
113186a9712
1216b021201
13aa58a9ba
14660542c1
153e79ce57
hex286759e1

677861857 has 2 divisors, whose sum is σ = 677861858. Its totient is φ = 677861856.

The previous prime is 677861843. The next prime is 677861861. The reversal of 677861857 is 758168776.

677861857 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., 632824336 + 45037521 = 25156^2 + 6711^2 .

It is a cyclic number.

It is not a de Polignac number, because 677861857 - 27 = 677861729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 677861798 and 677861807.

It is not a weakly prime, because it can be changed into another prime (677861827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338930928 + 338930929.

It is an arithmetic number, because the mean of its divisors is an integer number (338930929).

Almost surely, 2677861857 is an apocalyptic number.

It is an amenable number.

677861857 is a deficient number, since it is larger than the sum of its proper divisors (1).

677861857 is an equidigital number, since it uses as much as digits as its factorization.

677861857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3951360, while the sum is 55.

The square root of 677861857 is about 26035.7803224716. The cubic root of 677861857 is about 878.4432951019.

It can be divided in two parts, 6778 and 61857, that added together give a triangular number (68635 = T370).

The spelling of 677861857 in words is "six hundred seventy-seven million, eight hundred sixty-one thousand, eight hundred fifty-seven".