10687 has 2 divisors, whose sum is σ = 10688. Its totient is φ = 10686.

The previous prime is 10667. The next prime is 10691. The reversal of 10687 is 78601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10687 - 2⁷ = 10559 is a prime.

It is a super-2 number, since 2×10687² = 228423938, which contains 22 as substring.

It is a plaindrome in base 8 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5343 + 5344.

It is an arithmetic number, because the mean of its divisors is an integer number (5344).

2¹⁰⁶⁸⁷ is an apocalyptic number.

10687 is a deficient number, since it is larger than the sum of its proper divisors (1).

10687 is an equidigital number, since it uses as much as digits as its factorization.

10687 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 10687 is about 103.3779473582. The cubic root of 10687 is about 22.0268267783.

The spelling of 10687 in words is "ten thousand, six hundred eighty-seven".