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8003869 is a prime number
BaseRepresentation
bin11110100010000100011101
3120001122020121
4132202010131
54022110434
6443314541
7125013616
oct36420435
916048217
108003869
114577475
12281ba51
131873123
1410c4c0d
15a817b4
hex7a211d

8003869 has 2 divisors, whose sum is σ = 8003870. Its totient is φ = 8003868.

The previous prime is 8003867. The next prime is 8003873. The reversal of 8003869 is 9683008.

8003869 is digitally balanced in base 3, 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., 7812025 + 191844 = 2795^2 + 438^2 .

It is a cyclic number.

It is not a de Polignac number, because 8003869 - 21 = 8003867 is a prime.

It is a super-3 number, since 3×80038693 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 8003867, it forms a pair of twin primes.

8003869 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8003861) 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, 4001934 + 4001935.

It is an arithmetic number, because the mean of its divisors is an integer number (4001935).

Almost surely, 28003869 is an apocalyptic number.

It is an amenable number.

8003869 is a deficient number, since it is larger than the sum of its proper divisors (1).

8003869 is an equidigital number, since it uses as much as digits as its factorization.

8003869 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 8003869 is about 2829.1109911066. The cubic root of 8003869 is about 200.0322364704.

The spelling of 8003869 in words is "eight million, three thousand, eight hundred sixty-nine".