675657 has 12 divisors (see below), whose sum is σ = 1002820. Its totient is φ = 438048.

The previous prime is 675643. The next prime is 675713. The reversal of 675657 is 756576.

675657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 646416 + 29241 = 804^2 + 171^2 .

It is not a de Polignac number, because 675657 - 2⁶ = 675593 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 675657.

It is not an unprimeable number, because it can be changed into a prime (675607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 682 + ... + 1347.

2⁶⁷⁵⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

675657 is a deficient number, since it is larger than the sum of its proper divisors (327163).

675657 is a wasteful number, since it uses less digits than its factorization.

675657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2069 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 675657 is about 821.9835764783. The cubic root of 675657 is about 87.7489833569.

The spelling of 675657 in words is "six hundred seventy-five thousand, six hundred fifty-seven".