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83006081 is a prime number
BaseRepresentation
bin1001111001010…
…01001010000001
312210012010221022
410330221022001
5132222143311
612123035225
72025353144
oct474511201
9183163838
1083006081
1142944774
122396bb15
1314273732
14b04a05b
1574495db
hex4f29281

83006081 has 2 divisors, whose sum is σ = 83006082. Its totient is φ = 83006080.

The previous prime is 83006069. The next prime is 83006093. The reversal of 83006081 is 18060038.

It is a balanced prime because it is at equal distance from previous prime (83006069) and next prime (83006093).

It can be written as a sum of positive squares in only one way, i.e., 46512400 + 36493681 = 6820^2 + 6041^2 .

It is a cyclic number.

It is not a de Polignac number, because 83006081 - 210 = 83005057 is a prime.

It is a super-2 number, since 2×830060812 = 13780018965957122, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83006081.

It is not a weakly prime, because it can be changed into another prime (83006051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41503040 + 41503041.

It is an arithmetic number, because the mean of its divisors is an integer number (41503041).

Almost surely, 283006081 is an apocalyptic number.

It is an amenable number.

83006081 is a deficient number, since it is larger than the sum of its proper divisors (1).

83006081 is an equidigital number, since it uses as much as digits as its factorization.

83006081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 83006081 is about 9110.7673112642. The cubic root of 83006081 is about 436.2177197977.

The spelling of 83006081 in words is "eighty-three million, six thousand, eighty-one".