125865 has 12 divisors (see below), whose sum is σ = 218244. Its totient is φ = 67104.

The previous prime is 125863. The next prime is 125887. The reversal of 125865 is 568521.

125865 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 56169 = 264^2 + 237^2 .

It is not a de Polignac number, because 125865 - 2¹ = 125863 is a prime.

125865 is strictly pandigital in base 7.

125865 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125865.

It is not an unprimeable number, because it can be changed into a prime (125863) 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 11 ways as a sum of consecutive naturals, for example, 1354 + ... + 1443.

It is an arithmetic number, because the mean of its divisors is an integer number (18187).

2¹²⁵⁸⁶⁵ is an apocalyptic number.

125865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125865 is a deficient number, since it is larger than the sum of its proper divisors (92379).

125865 is a wasteful number, since it uses less digits than its factorization.

125865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2805 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 125865 is about 354.7745763157. The cubic root of 125865 is about 50.1150683158.

It can be divided in two parts, 125 and 865, that added together give a triangular number (990 = T₄₄).

The spelling of 125865 in words is "one hundred twenty-five thousand, eight hundred sixty-five".