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33300097 is a prime number
BaseRepresentation
bin111111100000…
…1111010000001
32022122211010221
41333001322001
532011100342
63145423041
7553021555
oct177017201
968584127
1033300097
1117884946
12b19aa81
136b8c0cc
1445cb865
152dcba67
hex1fc1e81

33300097 has 2 divisors, whose sum is σ = 33300098. Its totient is φ = 33300096.

The previous prime is 33300089. The next prime is 33300119. The reversal of 33300097 is 79000333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30206016 + 3094081 = 5496^2 + 1759^2 .

It is an emirp because it is prime and its reverse (79000333) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33300097 - 23 = 33300089 is a prime.

It is a super-2 number, since 2×333000972 = 2217792920418818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33300697) 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, 16650048 + 16650049.

It is an arithmetic number, because the mean of its divisors is an integer number (16650049).

Almost surely, 233300097 is an apocalyptic number.

It is an amenable number.

33300097 is a deficient number, since it is larger than the sum of its proper divisors (1).

33300097 is an equidigital number, since it uses as much as digits as its factorization.

33300097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 25.

The square root of 33300097 is about 5770.6236231451. The cubic root of 33300097 is about 321.7227948744.

The spelling of 33300097 in words is "thirty-three million, three hundred thousand, ninety-seven".