265761 has 20 divisors (see below), whose sum is σ = 422532. Its totient is φ = 165888.

The previous prime is 265757. The next prime is 265781. The reversal of 265761 is 167562.

265761 is a `hidden beast` number, since 2 + 657 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136161 + 129600 = 369^2 + 360^2 .

It is not a de Polignac number, because 265761 - 2² = 265757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 265761.

It is not an unprimeable number, because it can be changed into a prime (265711) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1281 + ... + 1473.

265761 is a Friedman number, since it can be written as 17*(6+5^6+2), using all its digits and the basic arithmetic operations.

It is the magic constant of a 81 × 81 magic square.

2²⁶⁵⁷⁶¹ is an apocalyptic number.

It is an amenable number.

265761 is a deficient number, since it is larger than the sum of its proper divisors (156771).

265761 is a wasteful number, since it uses less digits than its factorization.

265761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 265761 is about 515.5201256983. The cubic root of 265761 is about 64.2930086961.

The spelling of 265761 in words is "two hundred sixty-five thousand, seven hundred sixty-one".