682112 has 24 divisors (see below), whose sum is σ = 1377765. Its totient is φ = 336384.

The previous prime is 682079. The next prime is 682141. The reversal of 682112 is 211286.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 678976 + 3136 = 824^2 + 56^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=584.

It is a Duffinian number.

It is an unprimeable number.

682112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9308 + ... + 9380.

682112 is a Friedman number, since it can be written as 1168^2/2, using all its digits and the basic arithmetic operations.

2⁶⁸²¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682112

682112 is an abundant number, since it is smaller than the sum of its proper divisors (695653).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

682112 is an frugal number, since it uses more digits than its factorization.

682112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 75 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 682112 is about 825.9007204259. The cubic root of 682112 is about 88.0275395900.

Adding to 682112 its reverse (211286), we get a palindrome (893398).

The spelling of 682112 in words is "six hundred eighty-two thousand, one hundred twelve".