683761 has 8 divisors (see below), whose sum is σ = 743400. Its totient is φ = 625152.

The previous prime is 683759. The next prime is 683777. The reversal of 683761 is 167386.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 680625 = 56^2 + 825^2 .

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

It is a 3-Lehmer number, since φ(683761) divides (683761-1)³.

It is a cyclic number.

It is not a de Polignac number, because 683761 - 2¹ = 683759 is a prime.

It is a Duffinian number.

683761 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (683701) 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, 1761 + ... + 2113.

It is an arithmetic number, because the mean of its divisors is an integer number (92925).

It is a Poulet number, since it divides 2⁶⁸³⁷⁶⁰-1.

2⁶⁸³⁷⁶¹ is an apocalyptic number.

It is an amenable number.

683761 is a deficient number, since it is larger than the sum of its proper divisors (59639).

683761 is a wasteful number, since it uses less digits than its factorization.

683761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515.

The product of its digits is 6048, while the sum is 31.

The square root of 683761 is about 826.8984218149. The cubic root of 683761 is about 88.0984177827.

It can be divided in two parts, 683 and 761, that added together give a square (1444 = 38²).

The spelling of 683761 in words is "six hundred eighty-three thousand, seven hundred sixty-one".