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85212321 = 3195932521
BaseRepresentation
bin1010001010000…
…11110010100001
312221100020022220
411011003302201
5133303243241
612242221253
72053202265
oct505036241
9187306286
1085212321
1144111307
1224654829
13148669bc
14b4620a5
157733166
hex5143ca1

85212321 has 16 divisors (see below), whose sum is σ = 119845440. Its totient is φ = 53706240.

The previous prime is 85212319. The next prime is 85212329. The reversal of 85212321 is 12321258.

It is not a de Polignac number, because 85212321 - 21 = 85212319 is a prime.

It is a super-2 number, since 2×852123212 = 14522279300414082, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 85212291 and 85212300.

It is not an unprimeable number, because it can be changed into a prime (85212329) 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 15 ways as a sum of consecutive naturals, for example, 32541 + ... + 35061.

It is an arithmetic number, because the mean of its divisors is an integer number (7490340).

Almost surely, 285212321 is an apocalyptic number.

It is an amenable number.

85212321 is a deficient number, since it is larger than the sum of its proper divisors (34633119).

85212321 is a wasteful number, since it uses less digits than its factorization.

85212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136.

The product of its digits is 960, while the sum is 24.

The square root of 85212321 is about 9231.0519985536. The cubic root of 85212321 is about 440.0487566494.

Subtracting from 85212321 its product of digits (960), we obtain a square (85211361 = 92312).

Adding to 85212321 its reverse (12321258), we get a palindrome (97533579).

The spelling of 85212321 in words is "eighty-five million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 19 57 593 1779 2521 7563 11267 33801 47899 143697 1494953 4484859 28404107 85212321