125837 has 8 divisors (see below), whose sum is σ = 136800. Its totient is φ = 115344.

The previous prime is 125821. The next prime is 125863. The reversal of 125837 is 738521.

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

It is a cyclic number.

It is not a de Polignac number, because 125837 - 2⁴ = 125821 is a prime.

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 125837.

It is not an unprimeable number, because it can be changed into a prime (125887) 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, 614 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2¹²⁵⁸³⁷ is an apocalyptic number.

It is an amenable number.

125837 is a deficient number, since it is larger than the sum of its proper divisors (10963).

125837 is a wasteful number, since it uses less digits than its factorization.

125837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235.

The product of its digits is 1680, while the sum is 26.

The square root of 125837 is about 354.7351124431. The cubic root of 125837 is about 50.1113518313. Note that the first 3 decimals are identical.

The spelling of 125837 in words is "one hundred twenty-five thousand, eight hundred thirty-seven".