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9738225 = 35527229
BaseRepresentation
bin100101001001…
…011111110001
3200022202100000
4211021133301
54443110400
6544420213
7145526220
oct45113761
920282300
109738225
115551522
123317669
13202c683
141416cb7
15cc5600
hex9497f1

9738225 has 72 divisors (see below), whose sum is σ = 20762560. Its totient is φ = 4432320.

The previous prime is 9738221. The next prime is 9738257. The reversal of 9738225 is 5228379.

It is a happy number.

It is not a de Polignac number, because 9738225 - 22 = 9738221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9738225.

It is not an unprimeable number, because it can be changed into a prime (9738221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42411 + ... + 42639.

Almost surely, 29738225 is an apocalyptic number.

It is an amenable number.

9738225 is an abundant number, since it is smaller than the sum of its proper divisors (11024335).

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

9738225 is a wasteful number, since it uses less digits than its factorization.

9738225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 9738225 is about 3120.6129205654. The cubic root of 9738225 is about 213.5468984904.

The spelling of 9738225 in words is "nine million, seven hundred thirty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 229 243 315 405 525 567 675 687 945 1145 1215 1575 1603 1701 2025 2061 2835 3435 4725 4809 5725 6075 6183 8015 8505 10305 14175 14427 17175 18549 24045 30915 40075 42525 43281 51525 55647 72135 92745 120225 129843 154575 216405 278235 360675 389529 463725 649215 1082025 1391175 1947645 3246075 9738225