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34182133 is a prime number
BaseRepresentation
bin1000001001100…
…1001111110101
32101022122001221
42002121033311
532222312013
63220350341
7563354236
oct202311765
971278057
1034182133
11183275a7
12b5453b1
13710a71b
14477b08d
15300308d
hex20993f5

34182133 has 2 divisors, whose sum is σ = 34182134. Its totient is φ = 34182132.

The previous prime is 34182103. The next prime is 34182149. The reversal of 34182133 is 33128143.

34182133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29615364 + 4566769 = 5442^2 + 2137^2 .

It is an emirp because it is prime and its reverse (33128143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34182133 - 29 = 34181621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34182098 and 34182107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34182103) 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, 17091066 + 17091067.

It is an arithmetic number, because the mean of its divisors is an integer number (17091067).

Almost surely, 234182133 is an apocalyptic number.

It is an amenable number.

34182133 is a deficient number, since it is larger than the sum of its proper divisors (1).

34182133 is an equidigital number, since it uses as much as digits as its factorization.

34182133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 25.

The square root of 34182133 is about 5846.5488110508. The cubic root of 34182133 is about 324.5386210634.

The spelling of 34182133 in words is "thirty-four million, one hundred eighty-two thousand, one hundred thirty-three".