682561 has 6 divisors (see below), whose sum is σ = 750386. Its totient is φ = 620400.

The previous prime is 682547. The next prime is 682597. The reversal of 682561 is 165286.

It can be written as a sum of positive squares in only one way, i.e., 680625 + 1936 = 825^2 + 44^2 .

It is not a de Polignac number, because 682561 - 2⁹ = 682049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (682511) 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, 2700 + ... + 2941.

2⁶⁸²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

682561 is a deficient number, since it is larger than the sum of its proper divisors (67825).

682561 is a wasteful number, since it uses less digits than its factorization.

682561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663 (or 5652 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 682561 is about 826.1725001475. The cubic root of 682561 is about 88.0468500532.

It can be divided in two parts, 6825 and 61, that added together give a palindrome (6886).

The spelling of 682561 in words is "six hundred eighty-two thousand, five hundred sixty-one".