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3682801 is a prime number
BaseRepresentation
bin1110000011000111110001
320221002212001
432003013301
51420322201
6210534001
743206013
oct16030761
96832761
103682801
112095a41
121297301
139bc395
146bc1b3
154cb301
hex3831f1

3682801 has 2 divisors, whose sum is σ = 3682802. Its totient is φ = 3682800.

The previous prime is 3682787. The next prime is 3682813. The reversal of 3682801 is 1082863.

3682801 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., 2483776 + 1199025 = 1576^2 + 1095^2 .

It is a cyclic number.

It is not a de Polignac number, because 3682801 - 211 = 3680753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3682801.

It is not a weakly prime, because it can be changed into another prime (3682871) 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, 1841400 + 1841401.

It is an arithmetic number, because the mean of its divisors is an integer number (1841401).

Almost surely, 23682801 is an apocalyptic number.

It is an amenable number.

3682801 is a deficient number, since it is larger than the sum of its proper divisors (1).

3682801 is an equidigital number, since it uses as much as digits as its factorization.

3682801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 3682801 is about 1919.0625315502. The cubic root of 3682801 is about 154.4280132309.

The spelling of 3682801 in words is "three million, six hundred eighty-two thousand, eight hundred one".