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97008097 is a prime number
BaseRepresentation
bin1011100100000…
…11100111100001
320202112112002111
411302003213201
5144313224342
613343115321
72255361304
oct562034741
9222475074
1097008097
114a83868a
12285a2b41
1317136a54
14cc52b3b
1587b3217
hex5c839e1

97008097 has 2 divisors, whose sum is σ = 97008098. Its totient is φ = 97008096.

The previous prime is 97008071. The next prime is 97008133. The reversal of 97008097 is 79080079.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66194496 + 30813601 = 8136^2 + 5551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-97008097 is a prime.

It is a super-2 number, since 2×970080972 = 18821141767122818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (97008397) 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, 48504048 + 48504049.

It is an arithmetic number, because the mean of its divisors is an integer number (48504049).

Almost surely, 297008097 is an apocalyptic number.

It is an amenable number.

97008097 is a deficient number, since it is larger than the sum of its proper divisors (1).

97008097 is an equidigital number, since it uses as much as digits as its factorization.

97008097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 40.

The square root of 97008097 is about 9849.2688561131. The cubic root of 97008097 is about 459.4828735018.

The spelling of 97008097 in words is "ninety-seven million, eight thousand, ninety-seven".