683657 has 8 divisors (see below), whose sum is σ = 753984. Its totient is φ = 615888.

The previous prime is 683653. The next prime is 683681. The reversal of 683657 is 756386.

It is a happy number.

683657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 683657 - 2² = 683653 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 683657.

It is not an unprimeable number, because it can be changed into a prime (683651) 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, 53 + ... + 1170.

It is an arithmetic number, because the mean of its divisors is an integer number (94248).

2⁶⁸³⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

683657 is a deficient number, since it is larger than the sum of its proper divisors (70327).

683657 is a wasteful number, since it uses less digits than its factorization.

683657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279.

The product of its digits is 30240, while the sum is 35.

The square root of 683657 is about 826.8355338276. The cubic root of 683657 is about 88.0939509685.

The spelling of 683657 in words is "six hundred eighty-three thousand, six hundred fifty-seven".