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10084381 is a prime number
BaseRepresentation
bin100110011110…
…000000011101
3200222100011121
4212132000131
510040200011
61000050541
7151500346
oct46360035
920870147
1010084381
1157685aa
123463a51
1321210b8
1414a70cd
15d42e71
hex99e01d

10084381 has 2 divisors, whose sum is σ = 10084382. Its totient is φ = 10084380.

The previous prime is 10084379. The next prime is 10084391. The reversal of 10084381 is 18348001.

10084381 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., 5712100 + 4372281 = 2390^2 + 2091^2 .

It is a cyclic number.

It is not a de Polignac number, because 10084381 - 21 = 10084379 is a prime.

It is a super-2 number, since 2×100843812 = 203389480306322, which contains 22 as substring.

Together with 10084379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10084351) 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, 5042190 + 5042191.

It is an arithmetic number, because the mean of its divisors is an integer number (5042191).

Almost surely, 210084381 is an apocalyptic number.

It is an amenable number.

10084381 is a deficient number, since it is larger than the sum of its proper divisors (1).

10084381 is an equidigital number, since it uses as much as digits as its factorization.

10084381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 10084381 is about 3175.5914409760. The cubic root of 10084381 is about 216.0477503600.

The spelling of 10084381 in words is "ten million, eighty-four thousand, three hundred eighty-one".