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33085981 is a prime number
BaseRepresentation
bin111111000110…
…1101000011101
32022020221102201
41332031220131
531432222411
63141051501
7551140405
oct176155035
968227381
1033085981
1117748a95
12b0b6b91
136b15806
144573805
152d883c1
hex1f8da1d

33085981 has 2 divisors, whose sum is σ = 33085982. Its totient is φ = 33085980.

The previous prime is 33085951. The next prime is 33085993. The reversal of 33085981 is 18958033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27657081 + 5428900 = 5259^2 + 2330^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33085981 is a prime.

It is a super-2 number, since 2×330859812 = 2189364277464722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33085981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33085901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16542990 + 16542991.

It is an arithmetic number, because the mean of its divisors is an integer number (16542991).

Almost surely, 233085981 is an apocalyptic number.

It is an amenable number.

33085981 is a deficient number, since it is larger than the sum of its proper divisors (1).

33085981 is an equidigital number, since it uses as much as digits as its factorization.

33085981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 33085981 is about 5752.0414636892. The cubic root of 33085981 is about 321.0317641468.

The spelling of 33085981 in words is "thirty-three million, eighty-five thousand, nine hundred eighty-one".