125684 has 12 divisors (see below), whose sum is σ = 236964. Its totient is φ = 57984.

The previous prime is 125683. The next prime is 125687. The reversal of 125684 is 486521.

It can be written as a sum of positive squares in 2 ways, for example, as 77284 + 48400 = 278^2 + 220^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125683) 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 3 ways as a sum of consecutive naturals, for example, 1157 + ... + 1260.

It is an arithmetic number, because the mean of its divisors is an integer number (19747).

2¹²⁵⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

125684 is a deficient number, since it is larger than the sum of its proper divisors (111280).

125684 is a wasteful number, since it uses less digits than its factorization.

125684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2432 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 125684 is about 354.5193929815. The cubic root of 125684 is about 50.0910341551.

The spelling of 125684 in words is "one hundred twenty-five thousand, six hundred eighty-four".