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97166225 = 5213535641
BaseRepresentation
bin1011100101010…
…10001110010001
320202211120000002
411302222032101
5144333304400
613350335345
72256620312
oct562521621
9222746002
1097166225
114a936472
122865a555
1317190a10
14cc94609
1587e4ed5
hex5caa391

97166225 has 24 divisors (see below), whose sum is σ = 132225912. Its totient is φ = 70387200.

The previous prime is 97166221. The next prime is 97166227. The reversal of 97166225 is 52266179.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7219969 + 89946256 = 2687^2 + 9484^2 .

It is not a de Polignac number, because 97166225 - 22 = 97166221 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (97166221) 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 23 ways as a sum of consecutive naturals, for example, 14405 + ... + 20045.

It is an arithmetic number, because the mean of its divisors is an integer number (5509413).

Almost surely, 297166225 is an apocalyptic number.

It is an amenable number.

97166225 is a deficient number, since it is larger than the sum of its proper divisors (35059687).

97166225 is a wasteful number, since it uses less digits than its factorization.

97166225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717 (or 5712 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 97166225 is about 9857.2929853992. The cubic root of 97166225 is about 459.7323979145.

The spelling of 97166225 in words is "ninety-seven million, one hundred sixty-six thousand, two hundred twenty-five".

Divisors: 1 5 13 25 53 65 265 325 689 1325 3445 5641 17225 28205 73333 141025 298973 366665 1494865 1833325 3886649 7474325 19433245 97166225