265225 has 9 divisors (see below), whose sum is σ = 332103. Its totient is φ = 210120.

The previous prime is 265207. The next prime is 265231. The reversal of 265225 is 522562.

The square root of 265225 is 515.

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., 95481 + 169744 = 309^2 + 412^2 .

It is not a de Polignac number, because 265225 - 2⁵ = 265193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 265196 and 265205.

It is an unprimeable 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 8 ways as a sum of consecutive naturals, for example, 2524 + ... + 2626.

265225 is a Friedman number, since it can be written as ((6+2^(5+5))/2)^2, using all its digits and the basic arithmetic operations.

2²⁶⁵²²⁵ is an apocalyptic number.

265225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

265225 is the 515-th square number.

265225 is the 258-th centered octagonal number.

It is an amenable number.

265225 is a deficient number, since it is larger than the sum of its proper divisors (66878).

265225 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (265226) it forms an eRAP, since the sums of their prime factors are consecutive (216 and 217).

265225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 108 counting only the distinct ones).

The product of its digits is 1200, while the sum is 22.

The cubic root of 265225 is about 64.2497564930.

Adding to 265225 its reverse (522562), we get a palindrome (787787).

The spelling of 265225 in words is "two hundred sixty-five thousand, two hundred twenty-five".