25735 has 4 divisors (see below), whose sum is σ = 30888. Its totient is φ = 20584.

The previous prime is 25733. The next prime is 25741. The reversal of 25735 is 53752.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 25735 - 2¹ = 25733 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2569 + ... + 2578.

It is an arithmetic number, because the mean of its divisors is an integer number (7722).

2²⁵⁷³⁵ is an apocalyptic number.

25735 is a deficient number, since it is larger than the sum of its proper divisors (5153).

25735 is an equidigital number, since it uses as much as digits as its factorization.

25735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152.

The product of its digits is 1050, while the sum is 22.

The square root of 25735 is about 160.4213202788. The cubic root of 25735 is about 29.5239678815.

It can be divided in two parts, 257 and 35, that added together give a palindrome (292).

The spelling of 25735 in words is "twenty-five thousand, seven hundred thirty-five".