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97356285 = 32513192461
BaseRepresentation
bin1011100110110…
…00100111111101
320210012012201100
411303120213331
5144410400120
613354403313
72261341365
oct563304775
9223165640
1097356285
114aa56244
1228730539
1317229390
14cd039a5
158831490
hex5cd89fd

97356285 has 72 divisors (see below), whose sum is σ = 192216024. Its totient is φ = 45308160.

The previous prime is 97356253. The next prime is 97356289. The reversal of 97356285 is 58265379.

It is a happy number.

97356285 is a `hidden beast` number, since 9 + 7 + 3 + 562 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116964 + 97239321 = 342^2 + 9861^2 .

It is not a de Polignac number, because 97356285 - 25 = 97356253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (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 97356285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97356289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210955 + ... + 211415.

It is an arithmetic number, because the mean of its divisors is an integer number (2669667).

Almost surely, 297356285 is an apocalyptic number.

97356285 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

97356285 is a deficient number, since it is larger than the sum of its proper divisors (94859739).

97356285 is a wasteful number, since it uses less digits than its factorization.

97356285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 501 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 97356285 is about 9866.9288534984. The cubic root of 97356285 is about 460.0319527269.

The spelling of 97356285 in words is "ninety-seven million, three hundred fifty-six thousand, two hundred eighty-five".

Divisors: 1 3 5 9 13 15 19 39 45 57 65 95 117 171 195 247 285 361 461 585 741 855 1083 1235 1383 1805 2223 2305 3249 3705 4149 4693 5415 5993 6915 8759 11115 14079 16245 17979 20745 23465 26277 29965 42237 43795 53937 70395 78831 89895 113867 131385 166421 211185 269685 341601 394155 499263 569335 832105 1024803 1497789 1708005 2163473 2496315 5124015 6490419 7488945 10817365 19471257 32452095 97356285