Search a number
-
+
3681761 is a prime number
BaseRepresentation
bin1110000010110111100001
320221001102112
432002313201
51420304021
6210525105
743202666
oct16026741
96831375
103681761
112095186
121296795
139bba75
146bba6d
154cad5b
hex382de1

3681761 has 2 divisors, whose sum is σ = 3681762. Its totient is φ = 3681760.

The previous prime is 3681749. The next prime is 3681767. The reversal of 3681761 is 1671863.

3681761 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., 2193361 + 1488400 = 1481^2 + 1220^2 .

It is a cyclic number.

It is not a de Polignac number, because 3681761 - 26 = 3681697 is a prime.

It is a super-2 number, since 2×36817612 = 27110728122242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3681767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1840880 + 1840881.

It is an arithmetic number, because the mean of its divisors is an integer number (1840881).

Almost surely, 23681761 is an apocalyptic number.

It is an amenable number.

3681761 is a deficient number, since it is larger than the sum of its proper divisors (1).

3681761 is an equidigital number, since it uses as much as digits as its factorization.

3681761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 32.

The square root of 3681761 is about 1918.7915467815. The cubic root of 3681761 is about 154.4134753602.

The spelling of 3681761 in words is "three million, six hundred eighty-one thousand, seven hundred sixty-one".