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85260321 = 32173715061
BaseRepresentation
bin1010001010011…
…11100000100001
312221102200011200
411011033200201
5133311312241
612243231413
72053462236
oct505174041
9187380150
1085260321
1144144383
1224678569
13148827c3
14b47578d
1577424b6
hex514f821

85260321 has 24 divisors (see below), whose sum is σ = 133931304. Its totient is φ = 52047360.

The previous prime is 85260317. The next prime is 85260337. The reversal of 85260321 is 12306258.

85260321 = 17642 + 17652 + ... + 17902.

85260321 is a `hidden beast` number, since 8 + 52 + 603 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53450721 + 31809600 = 7311^2 + 5640^2 .

It is not a de Polignac number, because 85260321 - 22 = 85260317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85260311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1870 + ... + 13191.

It is an arithmetic number, because the mean of its divisors is an integer number (5580471).

Almost surely, 285260321 is an apocalyptic number.

It is an amenable number.

85260321 is a deficient number, since it is larger than the sum of its proper divisors (48670983).

85260321 is a wasteful number, since it uses less digits than its factorization.

85260321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15121 (or 15118 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 85260321 is about 9233.6515528798. The cubic root of 85260321 is about 440.1313674552.

Adding to 85260321 its reverse (12306258), we get a palindrome (97566579).

The spelling of 85260321 in words is "eighty-five million, two hundred sixty thousand, three hundred twenty-one".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 15061 45183 135549 256037 557257 768111 1671771 2304333 5015313 9473369 28420107 85260321