13225 has 9 divisors (see below), whose sum is σ = 17143. Its totient is φ = 10120.

The previous prime is 13219. The next prime is 13229. The reversal of 13225 is 52231.

13225 = T_{114} + T_{115}.

The square root of 13225 is 115.

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., 4761 + 8464 = 69^2 + 92^2 .

It is not a de Polignac number, because 13225 - 2^{3} = 13217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 564 + ... + 586.

13225 is a Friedman number, since it can be written as (23*5*1)^2, using all its digits and the basic arithmetic operations.

2^{13225} is an apocalyptic number.

13225 is the 115-th square number.

13225 is the 58-th centered octagonal number.

It is an amenable number.

13225 is a deficient number, since it is larger than the sum of its proper divisors (3918).

13225 is an equidigital number, since it uses as much as digits as its factorization.

13225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

The product of its digits is 60, while the sum is 13.

The cubic root of 13225 is about 23.6482256221.

Adding to 13225 its reverse (52231), we get a palindrome (65456).

The spelling of 13225 in words is "thirteen thousand, two hundred twenty-five".

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