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81770085 = 32517891201
BaseRepresentation
bin1001101111110…
…11011001100101
312200212100110200
410313323121211
5131413120320
612040341113
72012014515
oct467733145
9180770420
1081770085
1142180091
1223474799
1313c2cc87
14ac07845
1572a3290
hex4dfb665

81770085 has 48 divisors (see below), whose sum is σ = 151884720. Its totient is φ = 40550400.

The previous prime is 81770081. The next prime is 81770107. The reversal of 81770085 is 58007718.

It can be written as a sum of positive squares in 8 ways, for example, as 16208676 + 65561409 = 4026^2 + 8097^2 .

It is not a de Polignac number, because 81770085 - 22 = 81770081 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 (81770081) 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 47 ways as a sum of consecutive naturals, for example, 67485 + ... + 68685.

It is an arithmetic number, because the mean of its divisors is an integer number (3164265).

Almost surely, 281770085 is an apocalyptic number.

81770085 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

81770085 is a deficient number, since it is larger than the sum of its proper divisors (70114635).

81770085 is a wasteful number, since it uses less digits than its factorization.

81770085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 81770085 is about 9042.6812948373. The cubic root of 81770085 is about 434.0417272486.

The spelling of 81770085 in words is "eighty-one million, seven hundred seventy thousand, eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 89 153 255 267 445 765 801 1201 1335 1513 3603 4005 4539 6005 7565 10809 13617 18015 20417 22695 54045 61251 68085 102085 106889 183753 306255 320667 534445 918765 962001 1603335 1817113 4810005 5451339 9085565 16354017 27256695 81770085