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2082133 is a prime number
BaseRepresentation
bin111111100010101010101
310220210011001
413330111111
51013112013
6112343301
723461234
oct7742525
93823131
102082133
1111a2379
12844b31
1357b941
143c2b1b
152b1ddd
hex1fc555

2082133 has 2 divisors, whose sum is σ = 2082134. Its totient is φ = 2082132.

The previous prime is 2082131. The next prime is 2082163. The reversal of 2082133 is 3312802.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1868689 + 213444 = 1367^2 + 462^2 .

It is a cyclic number.

It is not a de Polignac number, because 2082133 - 21 = 2082131 is a prime.

Together with 2082131, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2082133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2082131) 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, 1041066 + 1041067.

It is an arithmetic number, because the mean of its divisors is an integer number (1041067).

22082133 is an apocalyptic number.

It is an amenable number.

2082133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2082133 is an equidigital number, since it uses as much as digits as its factorization.

2082133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2082133 is about 1442.9598054000. The cubic root of 2082133 is about 127.6937053065.

Adding to 2082133 its reverse (3312802), we get a palindrome (5394935).

The spelling of 2082133 in words is "two million, eighty-two thousand, one hundred thirty-three".