269361 has 9 divisors (see below), whose sum is σ = 391339. Its totient is φ = 178536.

The previous prime is 269351. The next prime is 269377. The reversal of 269361 is 163962.

It is a happy number.

The square root of 269361 is 519.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 245025 + 24336 = 495^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 269361 - 2¹³ = 261169 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 269361.

It is not an unprimeable number, because it can be changed into a prime (269341) 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 8 ways as a sum of consecutive naturals, for example, 1471 + ... + 1643.

269361 is a Friedman number, since it can be written as (6+2^9+1)^(6/3), using all its digits and the basic arithmetic operations.

2²⁶⁹³⁶¹ is an apocalyptic number.

269361 is the 519-th square number.

269361 is the 260-th centered octagonal number.

It is an amenable number.

269361 is a deficient number, since it is larger than the sum of its proper divisors (121978).

269361 is an equidigital number, since it uses as much as digits as its factorization.

269361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 176 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The cubic root of 269361 is about 64.5820121362.

It can be divided in two parts, 269 and 361, that added together give a triangular number (630 = T₃₅).

The spelling of 269361 in words is "two hundred sixty-nine thousand, three hundred sixty-one".