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10987 is a prime number
BaseRepresentation
bin10101011101011
3120001221
42223223
5322422
6122511
744014
oct25353
916057
1010987
118289
126437
135002
14400b
1533c7
hex2aeb

10987 has 2 divisors, whose sum is σ = 10988. Its totient is φ = 10986.

The previous prime is 10979. The next prime is 10993. The reversal of 10987 is 78901.

10987 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 (78901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10987 - 23 = 10979 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (10937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5493 + 5494.

It is an arithmetic number, because the mean of its divisors is an integer number (5494).

210987 is an apocalyptic number.

10987 is a deficient number, since it is larger than the sum of its proper divisors (1).

10987 is an equidigital number, since it uses as much as digits as its factorization.

10987 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 10987 is about 104.8188914271. The cubic root of 10987 is about 22.2310363184.

It can be divided in two parts, 109 and 87, that added together give a square (196 = 142).

The spelling of 10987 in words is "ten thousand, nine hundred eighty-seven".