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82013 is a prime number
BaseRepresentation
bin10100000001011101
311011111112
4110001131
510111023
61431405
7461051
oct240135
9134445
1082013
1156688
123b565
132b439
1421c61
1519478
hex1405d

82013 has 2 divisors, whose sum is σ = 82014. Its totient is φ = 82012.

The previous prime is 82009. The next prime is 82021. The reversal of 82013 is 31028.

82013 = 2022 + 2032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41209 + 40804 = 203^2 + 202^2 .

It is a cyclic number.

It is not a de Polignac number, because 82013 - 22 = 82009 is a prime.

It is a super-2 number, since 2×820132 = 13452264338, which contains 22 as substring.

It is a plaindrome in base 9 and base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41006 + 41007.

It is an arithmetic number, because the mean of its divisors is an integer number (41007).

282013 is an apocalyptic number.

82013 is the 203-rd centered square number.

It is an amenable number.

82013 is a deficient number, since it is larger than the sum of its proper divisors (1).

82013 is an equidigital number, since it uses as much as digits as its factorization.

82013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 82013 is about 286.3791193506. The cubic root of 82013 is about 43.4471106006.

The spelling of 82013 in words is "eighty-two thousand, thirteen".