125757 has 12 divisors (see below), whose sum is σ = 184860. Its totient is φ = 82368.

The previous prime is 125753. The next prime is 125777. The reversal of 125757 is 757521.

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 95481 = 174^2 + 309^2 .

It is not a de Polignac number, because 125757 - 2² = 125753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 125757.

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 125757.

It is not an unprimeable number, because it can be changed into a prime (125753) 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, 723 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (15405).

2¹²⁵⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

125757 is a deficient number, since it is larger than the sum of its proper divisors (59103).

125757 is a wasteful number, since it uses less digits than its factorization.

125757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 249 counting only the distinct ones).

The product of its digits is 2450, while the sum is 27.

The square root of 125757 is about 354.6223343220. The cubic root of 125757 is about 50.1007302653.

The spelling of 125757 in words is "one hundred twenty-five thousand, seven hundred fifty-seven".