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3965845 = 513173797
BaseRepresentation
bin1111001000001110010101
321110111010011
433020032111
52003401340
6221000221
745465142
oct17101625
97414104
103965845
112269664
1213b3071
13a8b170
147533c9
155350ea
hex3c8395

3965845 has 32 divisors (see below), whose sum is σ = 5630688. Its totient is φ = 2654208.

The previous prime is 3965839. The next prime is 3965849. The reversal of 3965845 is 5485693.

3965845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 367236 + 3598609 = 606^2 + 1897^2 .

It is a 8-Lehmer number, since φ(3965845) divides (3965845-1)8.

It is a cyclic number.

It is not a de Polignac number, because 3965845 - 221 = 1868693 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3965798 and 3965807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3965849) 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 in 31 ways as a sum of consecutive naturals, for example, 40837 + ... + 40933.

It is an arithmetic number, because the mean of its divisors is an integer number (175959).

Almost surely, 23965845 is an apocalyptic number.

It is an amenable number.

3965845 is a deficient number, since it is larger than the sum of its proper divisors (1664843).

3965845 is a wasteful number, since it uses less digits than its factorization.

3965845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169.

The product of its digits is 129600, while the sum is 40.

The square root of 3965845 is about 1991.4429441990. The cubic root of 3965845 is about 158.2869990614.

It can be divided in two parts, 396 and 5845, that added together give a square (6241 = 792).

The spelling of 3965845 in words is "three million, nine hundred sixty-five thousand, eight hundred forty-five".

Divisors: 1 5 13 17 37 65 85 97 185 221 481 485 629 1105 1261 1649 2405 3145 3589 6305 8177 8245 17945 21437 40885 46657 61013 107185 233285 305065 793169 3965845