125657 has 8 divisors (see below), whose sum is σ = 148800. Its totient is φ = 103824.

The previous prime is 125651. The next prime is 125659. The reversal of 125657 is 756521.

125657 is nontrivially palindromic in base 15.

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

It is not a de Polignac number, because 125657 - 2⁴ = 125641 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 125657.

It is not an unprimeable number, because it can be changed into a prime (125651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (18600).

2¹²⁵⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

125657 is a deficient number, since it is larger than the sum of its proper divisors (23143).

125657 is an equidigital number, since it uses as much as digits as its factorization.

125657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655.

The product of its digits is 2100, while the sum is 26.

The square root of 125657 is about 354.4813112140. The cubic root of 125657 is about 50.0874469714.

The spelling of 125657 in words is "one hundred twenty-five thousand, six hundred fifty-seven".