265536 has 42 divisors (see below), whose sum is σ = 762762. Its totient is φ = 88320.

The previous prime is 265513. The next prime is 265541. The reversal of 265536 is 635562.

265536 is a `hidden beast` number, since 2 + 655 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 57600 = 456^2 + 240^2 .

It is a nialpdrome in base 9.

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 265536.

It is an unprimeable number.

265536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 346 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (18161).

2²⁶⁵⁵³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 265536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381381).

265536 is an abundant number, since it is smaller than the sum of its proper divisors (497226).

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

265536 is a wasteful number, since it uses less digits than its factorization.

265536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 466 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 265536 is about 515.3018532860. The cubic root of 265536 is about 64.2748595429.

It can be divided in two parts, 2 and 65536, that multiplied together give a 17-th power (131072 = 2¹⁷).

The spelling of 265536 in words is "two hundred sixty-five thousand, five hundred thirty-six".