10087 has 8 divisors (see below), whose sum is σ = 12672. Its totient is φ = 7800.

The previous prime is 10079. The next prime is 10091. The reversal of 10087 is 78001.

10087 is nontrivially palindromic in base 6.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10087 - 2³ = 10079 is a prime.

10087 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 11.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 10087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 142.

It is an arithmetic number, because the mean of its divisors is an integer number (1584).

2¹⁰⁰⁸⁷ is an apocalyptic number.

10087 is a deficient number, since it is larger than the sum of its proper divisors (2585).

10087 is a wasteful number, since it uses less digits than its factorization.

10087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 10087 is about 100.4340579684. The cubic root of 10087 is about 21.6066451891.

Adding to 10087 its reverse (78001), we get a palindrome (88088).

It can be divided in two parts, 1008 and 7, that multiplied together give a square (7056 = 84²).

The spelling of 10087 in words is "ten thousand, eighty-seven".