25965 has 12 divisors (see below), whose sum is σ = 45084. Its totient is φ = 13824.

The previous prime is 25951. The next prime is 25969. The reversal of 25965 is 56952.

25965 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 19881 + 6084 = 141^2 + 78^2 .

It is not a de Polignac number, because 25965 - 2⁵ = 25933 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25965.

It is not an unprimeable number, because it can be changed into a prime (25969) 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, 244 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (3757).

2²⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

25965 is a deficient number, since it is larger than the sum of its proper divisors (19119).

25965 is a wasteful number, since it uses less digits than its factorization.

25965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 585 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 25965 is about 161.1365880239. The cubic root of 25965 is about 29.6116614631.

It can be divided in two parts, 2596 and 5, that added together give a square (2601 = 51²).

The spelling of 25965 in words is "twenty-five thousand, nine hundred sixty-five".