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82341217 = 721798849
BaseRepresentation
bin1001110100001…
…10110101100001
312201221100220201
410322012311201
5132034404332
612100505201
72016613600
oct472066541
9181840821
1082341217
11425301a2
12236ab201
131409cc1a
14ad15a37
1573675e7
hex4e86d61

82341217 has 12 divisors (see below), whose sum is σ = 101420100. Its totient is φ = 66425856.

The previous prime is 82341211. The next prime is 82341241. The reversal of 82341217 is 71214328.

It can be written as a sum of positive squares in 2 ways, for example, as 46771921 + 35569296 = 6839^2 + 5964^2 .

It is not a de Polignac number, because 82341217 - 23 = 82341209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82341211) 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 11 ways as a sum of consecutive naturals, for example, 48592 + ... + 50257.

It is an arithmetic number, because the mean of its divisors is an integer number (8451675).

Almost surely, 282341217 is an apocalyptic number.

It is an amenable number.

82341217 is a deficient number, since it is larger than the sum of its proper divisors (19078883).

82341217 is a wasteful number, since it uses less digits than its factorization.

82341217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98880 (or 98873 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 82341217 is about 9074.2061360760. The cubic root of 82341217 is about 435.0499207253.

The spelling of 82341217 in words is "eighty-two million, three hundred forty-one thousand, two hundred seventeen".

Divisors: 1 7 17 49 119 833 98849 691943 1680433 4843601 11763031 82341217