Search a number
-
+
82829317 is a prime number
BaseRepresentation
bin1001110111111…
…10000000000101
312202212011110111
410323332000011
5132201014232
612115153021
72024015614
oct473760005
9182764414
1082829317
114283398a
12238a5771
131421113c
14b00187b
157412047
hex4efe005

82829317 has 2 divisors, whose sum is σ = 82829318. Its totient is φ = 82829316.

The previous prime is 82829297. The next prime is 82829323. The reversal of 82829317 is 71392828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73256481 + 9572836 = 8559^2 + 3094^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82829317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82829317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82829387) 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 as a sum of consecutive naturals, namely, 41414658 + 41414659.

It is an arithmetic number, because the mean of its divisors is an integer number (41414659).

Almost surely, 282829317 is an apocalyptic number.

It is an amenable number.

82829317 is a deficient number, since it is larger than the sum of its proper divisors (1).

82829317 is an equidigital number, since it uses as much as digits as its factorization.

82829317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 40.

The square root of 82829317 is about 9101.0613117372. The cubic root of 82829317 is about 435.9078533908.

The spelling of 82829317 in words is "eighty-two million, eight hundred twenty-nine thousand, three hundred seventeen".