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84582097 is a prime number
BaseRepresentation
bin1010000101010…
…01111011010001
312220011012211021
411002221323101
5133123111342
612220515441
72044636015
oct502517321
9186135737
1084582097
1143820866
12243abb81
13146a5ba2
14b33a545
15765b567
hex50a9ed1

84582097 has 2 divisors, whose sum is σ = 84582098. Its totient is φ = 84582096.

The previous prime is 84582079. The next prime is 84582101. The reversal of 84582097 is 79028548.

84582097 is nontrivially palindromic in base 15.

Together with previous prime (84582079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76108176 + 8473921 = 8724^2 + 2911^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-84582097 is a prime.

It is a super-2 number, since 2×845820972 = 14308262265834818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (84582007) 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, 42291048 + 42291049.

It is an arithmetic number, because the mean of its divisors is an integer number (42291049).

Almost surely, 284582097 is an apocalyptic number.

It is an amenable number.

84582097 is a deficient number, since it is larger than the sum of its proper divisors (1).

84582097 is an equidigital number, since it uses as much as digits as its factorization.

84582097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 84582097 is about 9196.8525594358. The cubic root of 84582097 is about 438.9612151226.

The spelling of 84582097 in words is "eighty-four million, five hundred eighty-two thousand, ninety-seven".