55225 has 9 divisors (see below), whose sum is σ = 69967. Its totient is φ = 43240.

The previous prime is 55219. The next prime is 55229. The reversal of 55225 is 52255.

55225 = T_{234} + T_{235}.

The square root of 55225 is 235.

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., 19881 + 35344 = 141^2 + 188^2 .

It is not a de Polignac number, because 55225 - 2^{3} = 55217 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (55229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1152 + ... + 1198.

55225 is a Friedman number, since it can be written as (5*(52-5))^2, using all its digits and the basic arithmetic operations.

2^{55225} is an apocalyptic number.

55225 is the 235-th square number.

55225 is the 118-th centered octagonal number.

It is an amenable number.

55225 is a deficient number, since it is larger than the sum of its proper divisors (14742).

55225 is an equidigital number, since it uses as much as digits as its factorization.

55225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 52 counting only the distinct ones).

The product of its digits is 500, while the sum is 19.

The cubic root of 55225 is about 38.0813124945.

The spelling of 55225 in words is "fifty-five thousand, two hundred twenty-five".

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