681005 has 8 divisors (see below), whose sum is σ = 880152. Its totient is φ = 502848.

The previous prime is 681001. The next prime is 681011. The reversal of 681005 is 500186.

It can be written as a sum of positive squares in 4 ways, for example, as 45796 + 635209 = 214^2 + 797^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 681005 - 2² = 681001 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 681005.

It is not an unprimeable number, because it can be changed into a prime (681001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5174 + ... + 5303.

It is an arithmetic number, because the mean of its divisors is an integer number (110019).

2⁶⁸¹⁰⁰⁵ is an apocalyptic number.

681005 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

681005 is a deficient number, since it is larger than the sum of its proper divisors (199147).

681005 is a wasteful number, since it uses less digits than its factorization.

681005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10495.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 681005 is about 825.2302708941. The cubic root of 681005 is about 87.9798938225.

The spelling of 681005 in words is "six hundred eighty-one thousand, five".