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33897821 is a prime number
BaseRepresentation
bin1000000101001…
…1110101011101
32100210012001212
42001103311131
532134212241
63210314205
7561061316
oct201236535
970705055
1033897821
1118152a31
12b428965
13703b1a9
14470560d
152e98beb
hex2053d5d

33897821 has 2 divisors, whose sum is σ = 33897822. Its totient is φ = 33897820.

The previous prime is 33897757. The next prime is 33897833. The reversal of 33897821 is 12879833.

33897821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33235225 + 662596 = 5765^2 + 814^2 .

It is a cyclic number.

It is not a de Polignac number, because 33897821 - 26 = 33897757 is a prime.

It is a super-2 number, since 2×338978212 = 2298124537096082, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33897841) 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, 16948910 + 16948911.

It is an arithmetic number, because the mean of its divisors is an integer number (16948911).

Almost surely, 233897821 is an apocalyptic number.

It is an amenable number.

33897821 is a deficient number, since it is larger than the sum of its proper divisors (1).

33897821 is an equidigital number, since it uses as much as digits as its factorization.

33897821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 41.

The square root of 33897821 is about 5822.1835251046. The cubic root of 33897821 is about 323.6363247844.

The spelling of 33897821 in words is "thirty-three million, eight hundred ninety-seven thousand, eight hundred twenty-one".