4334247225 has 405 divisors, whose sum is σ = 10834242111. Its totient is φ = 1706443200.

The previous prime is 4334247193. The next prime is 4334247233. The reversal of 4334247225 is 5227424334.

The square root of 4334247225 is 65835.

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

4334247225 is a `hidden beast` number, since 4 + 3 + 3 + 424 + 7 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1560329001 + 2773918224 = 39501^2 + 52668^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 4334247225 - 2⁵ = 4334247193 is a prime.

Its product of digits (161280) is a multiple of the sum of its prime divisors (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4334247225.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 228118266 + ... + 228118284.

Almost surely, 2^4334247225 is an apocalyptic number.

4334247225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4334247225 is the 65835-th square number.

4334247225 is the 32918-th centered octagonal number.

It is an amenable number.

4334247225 is an abundant number, since it is smaller than the sum of its proper divisors (6499994886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4334247225 is a wasteful number, since it uses less digits than its factorization.

4334247225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 45 counting only the distinct ones).

The product of its digits is 161280, while the sum is 36.

The cubic root of 4334247225 is about 1630.4390182081.

Multiplying 4334247225 by its sum of digits (36), we get a square (156032900100 = 395010²).

The spelling of 4334247225 in words is "four billion, three hundred thirty-four million, two hundred forty-seven thousand, two hundred twenty-five".