25935 has 32 divisors (see below), whose sum is σ = 53760. Its totient is φ = 10368.

The previous prime is 25933. The next prime is 25939. The reversal of 25935 is 53952.

25935 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 25935 - 2¹ = 25933 is a prime.

It is a super-3 number, since 3×25935³ = 52333527826125, which contains 333 as substring.

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 25935.

It is not an unprimeable number, because it can be changed into a prime (25931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1356 + ... + 1374.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2²⁵⁹³⁵ is an apocalyptic number.

25935 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26880).

25935 is a wasteful number, since it uses less digits than its factorization.

25935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47.

The product of its digits is 1350, while the sum is 24.

The square root of 25935 is about 161.0434723918. The cubic root of 25935 is about 29.6002526153.

The spelling of 25935 in words is "twenty-five thousand, nine hundred thirty-five".