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33064973 is a prime number
BaseRepresentation
bin111111000100…
…0100000001101
32022012212121122
41332020200031
531431034343
63140410325
7551022224
oct176104015
968185548
1033064973
1117734227
12b0a69a5
136b09096
144569cbb
152d82068
hex1f8880d

33064973 has 2 divisors, whose sum is σ = 33064974. Its totient is φ = 33064972.

The previous prime is 33064963. The next prime is 33064987. The reversal of 33064973 is 37946033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28751044 + 4313929 = 5362^2 + 2077^2 .

It is a cyclic number.

It is not a de Polignac number, because 33064973 - 26 = 33064909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33064943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16532486 + 16532487.

It is an arithmetic number, because the mean of its divisors is an integer number (16532487).

Almost surely, 233064973 is an apocalyptic number.

It is an amenable number.

33064973 is a deficient number, since it is larger than the sum of its proper divisors (1).

33064973 is an equidigital number, since it uses as much as digits as its factorization.

33064973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 35.

The square root of 33064973 is about 5750.2150394572. The cubic root of 33064973 is about 320.9638032056.

It can be divided in two parts, 3 and 3064973, that multiplied together give a palindrome (9194919).

The spelling of 33064973 in words is "thirty-three million, sixty-four thousand, nine hundred seventy-three".