10684 has 6 divisors (see below), whose sum is σ = 18704. Its totient is φ = 5340.

The previous prime is 10667. The next prime is 10687. The reversal of 10684 is 48601.

It is a super-2 number, since 2×10684² = 228295712, which contains 22 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1332 + ... + 1339.

It is an amenable number.

10684 is a deficient number, since it is larger than the sum of its proper divisors (8020).

10684 is a wasteful number, since it uses less digits than its factorization.

10684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10684 is about 103.3634364754. The cubic root of 10684 is about 22.0247654993.

It can be divided in two parts, 106 and 84, that added together give a triangular number (190 = T₁₉).

The spelling of 10684 in words is "ten thousand, six hundred eighty-four".