125905 has 12 divisors (see below), whose sum is σ = 164700. Its totient is φ = 92352.

The previous prime is 125899. The next prime is 125921. The reversal of 125905 is 509521.

It can be written as a sum of positive squares in 6 ways, for example, as 49729 + 76176 = 223^2 + 276^2 .

It is not a de Polignac number, because 125905 - 2³ = 125897 is a prime.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 771 + ... + 919.

It is an arithmetic number, because the mean of its divisors is an integer number (13725).

2¹²⁵⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

125905 is a deficient number, since it is larger than the sum of its proper divisors (38795).

125905 is a wasteful number, since it uses less digits than its factorization.

125905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 125905 is about 354.8309456629. The cubic root of 125905 is about 50.1203766235.

The spelling of 125905 in words is "one hundred twenty-five thousand, nine hundred five".