125565 has 16 divisors (see below), whose sum is σ = 219456. Its totient is φ = 60800.

The previous prime is 125551. The next prime is 125591. The reversal of 125565 is 565521.

It is not a de Polignac number, because 125565 - 2⁹ = 125053 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (13716).

2¹²⁵⁵⁶⁵ is an apocalyptic number.

125565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125565 is a deficient number, since it is larger than the sum of its proper divisors (93891).

125565 is a wasteful number, since it uses less digits than its factorization.

125565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780.

The product of its digits is 1500, while the sum is 24.

The square root of 125565 is about 354.3515203862. The cubic root of 125565 is about 50.0752201153.

It can be divided in two parts, 12556 and 5, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 125565 in words is "one hundred twenty-five thousand, five hundred sixty-five".