Search a number
-
+
97000109 is a prime number
BaseRepresentation
bin1011100100000…
…01101010101101
320202112010010122
411302001222231
5144313000414
613343014325
72255326103
oct562015255
9222463118
1097000109
114a832688
122859a3a5
131713321b
14cc4dc73
1587b0b8e
hex5c81aad

97000109 has 2 divisors, whose sum is σ = 97000110. Its totient is φ = 97000108.

The previous prime is 97000093. The next prime is 97000117. The reversal of 97000109 is 90100079.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59521225 + 37478884 = 7715^2 + 6122^2 .

It is an emirp because it is prime and its reverse (90100079) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97000109 - 24 = 97000093 is a prime.

It is a super-2 number, since 2×970001092 = 18818042292023762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97000139) 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, 48500054 + 48500055.

It is an arithmetic number, because the mean of its divisors is an integer number (48500055).

Almost surely, 297000109 is an apocalyptic number.

It is an amenable number.

97000109 is a deficient number, since it is larger than the sum of its proper divisors (1).

97000109 is an equidigital number, since it uses as much as digits as its factorization.

97000109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 26.

The square root of 97000109 is about 9848.8633354312. The cubic root of 97000109 is about 459.4702613246.

The spelling of 97000109 in words is "ninety-seven million, one hundred nine", and thus it is an aban number.