225625 has 15 divisors (see below), whose sum is σ = 297561. Its totient is φ = 171000.

The previous prime is 225619. The next prime is 225629. The reversal of 225625 is 526522.

225625 = T_{474} + T_{475}.

The square root of 225625 is 475.

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

It can be written as a sum of positive squares in 2 ways, for example, as 17689 + 207936 = 133^2 + 456^2 .

It is not a de Polignac number, because 225625 - 2^{11} = 223577 is a prime.

It is a Duffinian number.

Its product of digits (1200) is a multiple of the sum of its prime divisors (24).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 225596 and 225605.

It is not an unprimeable number, because it can be changed into a prime (225629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11866 + ... + 11884.

225625 is a Friedman number, since it can be written as ((5^2-6)*5^2)^2, using all its digits and the basic arithmetic operations.

2^{225625} is an apocalyptic number.

225625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225625 is the 475-th square number.

225625 is the 238-th centered octagonal number.

It is an amenable number.

225625 is a deficient number, since it is larger than the sum of its proper divisors (71936).

225625 is an frugal number, since it uses more digits than its factorization.

225625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 24 counting only the distinct ones).

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

The cubic root of 225625 is about 60.8782845761.

It can be divided in two parts, 225 and 625, that multiplied together give a square (140625 = 375^{2}).

The spelling of 225625 in words is "two hundred twenty-five thousand, six hundred twenty-five".

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