125965 has 16 divisors (see below), whose sum is σ = 178560. Its totient is φ = 83520.

The previous prime is 125963. The next prime is 126001. The reversal of 125965 is 569521.

It is not a de Polignac number, because 125965 - 2¹ = 125963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2035 + ... + 2095.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2¹²⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

125965 is a deficient number, since it is larger than the sum of its proper divisors (52595).

125965 is an equidigital number, since it uses as much as digits as its factorization.

125965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132.

The product of its digits is 2700, while the sum is 28.

The square root of 125965 is about 354.9154828970. The cubic root of 125965 is about 50.1283369772.

Subtracting 125965 from its reverse (569521), we obtain a square (443556 = 666²).

The spelling of 125965 in words is "one hundred twenty-five thousand, nine hundred sixty-five".