25755 has 16 divisors (see below), whose sum is σ = 44064. Its totient is φ = 12800.

The previous prime is 25747. The next prime is 25759. The reversal of 25755 is 55752.

25755 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 25755 - 2³ = 25747 is a prime.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25755.

It is not an unprimeable number, because it can be changed into a prime (25759) 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, 205 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (2754).

2²⁵⁷⁵⁵ is an apocalyptic number.

25755 is a deficient number, since it is larger than the sum of its proper divisors (18309).

25755 is a wasteful number, since it uses less digits than its factorization.

25755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126.

The product of its digits is 1750, while the sum is 24.

The square root of 25755 is about 160.4836440264. The cubic root of 25755 is about 29.5316141021.

It can be divided in two parts, 25 and 755, that added together give a triangular number (780 = T₃₉).

The spelling of 25755 in words is "twenty-five thousand, seven hundred fifty-five".