Search a number
-
+
81366165 = 32517314773
BaseRepresentation
bin1001101100110…
…00110010010101
312200002211101200
410312120302111
5131312204130
612023543113
72005413066
oct466306225
9180084350
1081366165
1141a24671
12232baa99
1313b1b17a
14ab4056d
157223760
hex4d98c95

81366165 has 96 divisors (see below), whose sum is σ = 159584256. Its totient is φ = 38154240.

The previous prime is 81366161. The next prime is 81366169. The reversal of 81366165 is 56166318.

81366165 = T351 + T352 + ... + T809.

It is a happy number.

81366165 is a `hidden beast` number, since 8 + 1 + 36 + 616 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (81366161) and next prime (81366169).

It is not a de Polignac number, because 81366165 - 22 = 81366161 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81366161) 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 95 ways as a sum of consecutive naturals, for example, 1114569 + ... + 1114641.

It is an arithmetic number, because the mean of its divisors is an integer number (1662336).

Almost surely, 281366165 is an apocalyptic number.

81366165 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

81366165 is a deficient number, since it is larger than the sum of its proper divisors (78218091).

81366165 is a wasteful number, since it uses less digits than its factorization.

81366165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 176 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 81366165 is about 9020.3195619667. The cubic root of 81366165 is about 433.3258680502.

The spelling of 81366165 in words is "eighty-one million, three hundred sixty-six thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 17 31 45 47 51 73 85 93 141 153 155 219 235 255 279 365 423 465 527 657 705 765 799 1095 1241 1395 1457 1581 2115 2263 2397 2635 3285 3431 3723 3995 4371 4743 6205 6789 7191 7285 7905 10293 11169 11315 11985 13113 17155 18615 20367 21855 23715 24769 30879 33945 35955 38471 51465 55845 58327 65565 74307 101835 106361 115413 123845 154395 174981 192355 222921 291635 319083 346239 371535 524943 531805 577065 874905 957249 1114605 1595415 1731195 1808137 2624715 4786245 5424411 9040685 16273233 27122055 81366165