125505 has 12 divisors (see below), whose sum is σ = 217620. Its totient is φ = 66912.

The previous prime is 125497. The next prime is 125507. The reversal of 125505 is 505521.

It can be written as a sum of positive squares in 2 ways, for example, as 62001 + 63504 = 249^2 + 252^2 .

It is not a de Polignac number, because 125505 - 2³ = 125497 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125505.

It is not an unprimeable number, because it can be changed into a prime (125507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1350 + ... + 1439.

It is an arithmetic number, because the mean of its divisors is an integer number (18135).

2¹²⁵⁵⁰⁵ is an apocalyptic number.

125505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125505 is a deficient number, since it is larger than the sum of its proper divisors (92115).

125505 is a wasteful number, since it uses less digits than its factorization.

125505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 125505 is about 354.2668485760. The cubic root of 125505 is about 50.0672428607.

It can be divided in two parts, 125 and 505, that added together give a triangular number (630 = T₃₅).

The spelling of 125505 in words is "one hundred twenty-five thousand, five hundred five".