125804 has 12 divisors (see below), whose sum is σ = 251664. Its totient is φ = 53904.

The previous prime is 125803. The next prime is 125813. The reversal of 125804 is 408521.

125804 = T₁₂₇ + T₁₂₈ + ... + T₁₄₀.

125804 is an admirable number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (125803) 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, 2219 + ... + 2274.

It is an arithmetic number, because the mean of its divisors is an integer number (20972).

2¹²⁵⁸⁰⁴ is an apocalyptic number.

125804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

125804 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125804 is a wasteful number, since it uses less digits than its factorization.

125804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 125804 is about 354.6885958133. The cubic root of 125804 is about 50.1069709810.

It can be divided in two parts, 125 and 804, that added together give a palindrome (929).

The spelling of 125804 in words is "one hundred twenty-five thousand, eight hundred four".