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10087687 is a prime number
BaseRepresentation
bin100110011110…
…110100000111
3200222111201001
4212132310013
510040301222
61000114131
7151513111
oct46366407
920874631
1010087687
115770035
123465947
13212275c
1414a83b1
15d43e27
hex99ed07

10087687 has 2 divisors, whose sum is σ = 10087688. Its totient is φ = 10087686.

The previous prime is 10087669. The next prime is 10087703. The reversal of 10087687 is 78678001.

It is a happy number.

10087687 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (78678001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10087687 - 27 = 10087559 is a prime.

It is a super-3 number, since 3×100876873 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10087487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5043843 + 5043844.

It is an arithmetic number, because the mean of its divisors is an integer number (5043844).

Almost surely, 210087687 is an apocalyptic number.

10087687 is a deficient number, since it is larger than the sum of its proper divisors (1).

10087687 is an equidigital number, since it uses as much as digits as its factorization.

10087687 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 37.

The square root of 10087687 is about 3176.1119312770. Note that the first 3 decimals coincide. The cubic root of 10087687 is about 216.0713570254.

The spelling of 10087687 in words is "ten million, eighty-seven thousand, six hundred eighty-seven".