10682 has 12 divisors (see below), whose sum is σ = 18810. Its totient is φ = 4536.

The previous prime is 10667. The next prime is 10687. The reversal of 10682 is 28601.

It can be written as a sum of positive squares in only one way, i.e., 8281 + 2401 = 91^2 + 49^2 .

It is a super-2 number, since 2×10682² = 228210248, which contains 22 as substring.

It is a plaindrome in base 9.

It is a nialpdrome in base 7 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 10682.

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 in 5 ways as a sum of consecutive naturals, for example, 44 + ... + 152.

2¹⁰⁶⁸² is an apocalyptic number.

10682 is a deficient number, since it is larger than the sum of its proper divisors (8128).

10682 is a wasteful number, since it uses less digits than its factorization.

10682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10682 is about 103.3537614216. The cubic root of 10682 is about 22.0233910990.

The spelling of 10682 in words is "ten thousand, six hundred eighty-two".