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82093681 is a prime number
BaseRepresentation
bin1001110010010…
…10011001110001
312201110210100201
410321022121301
5132003444211
612051315201
72014533115
oct471123161
9181423321
1082093681
114238121a
12235abb01
1314014357
14ac8d745
1573190c1
hex4e4a671

82093681 has 2 divisors, whose sum is σ = 82093682. Its totient is φ = 82093680.

The previous prime is 82093667. The next prime is 82093703. The reversal of 82093681 is 18639028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62157456 + 19936225 = 7884^2 + 4465^2 .

It is a cyclic number.

It is not a de Polignac number, because 82093681 - 29 = 82093169 is a prime.

It is a super-2 number, since 2×820936812 = 13478744920259522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82093681.

It is not a weakly prime, because it can be changed into another prime (82093651) 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, 41046840 + 41046841.

It is an arithmetic number, because the mean of its divisors is an integer number (41046841).

Almost surely, 282093681 is an apocalyptic number.

It is an amenable number.

82093681 is a deficient number, since it is larger than the sum of its proper divisors (1).

82093681 is an equidigital number, since it uses as much as digits as its factorization.

82093681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 82093681 is about 9060.5563294977. The cubic root of 82093681 is about 434.6135308848.

The spelling of 82093681 in words is "eighty-two million, ninety-three thousand, six hundred eighty-one".