25761 has 8 divisors (see below), whose sum is σ = 35584. Its totient is φ = 16560.

The previous prime is 25759. The next prime is 25763. The reversal of 25761 is 16752.

It is an interprime number because it is at equal distance from previous prime (25759) and next prime (25763).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 25761 - 2¹ = 25759 is a prime.

It is the 161-st Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25763) by changing a digit.

It is a nontrivial repunit in base 160.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 231.

It is an arithmetic number, because the mean of its divisors is an integer number (4448).

It is a Poulet number, since it divides 2²⁵⁷⁶⁰-1.

2²⁵⁷⁶¹ is an apocalyptic number.

25761 is the 93-rd octagonal number.

It is an amenable number.

25761 is a deficient number, since it is larger than the sum of its proper divisors (9823).

25761 is a wasteful number, since it uses less digits than its factorization.

25761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311.

The product of its digits is 420, while the sum is 21.

The square root of 25761 is about 160.5023364316. The cubic root of 25761 is about 29.5339071963.

Subtracting from 25761 its reverse (16752), we obtain a palindrome (9009).

The spelling of 25761 in words is "twenty-five thousand, seven hundred sixty-one".