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33083 is a prime number
BaseRepresentation
bin1000000100111011
31200101022
420010323
52024313
6413055
7165311
oct100473
950338
1033083
1122946
121718b
131209b
14c0b1
159c08
hex813b

33083 has 2 divisors, whose sum is σ = 33084. Its totient is φ = 33082.

The previous prime is 33073. The next prime is 33091. The reversal of 33083 is 38033.

Subtracting 33083 from its reverse (38033), we obtain a triangular number (4950 = T99).

33083 = T102 + T103 + ... + T107.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 33083 - 210 = 32059 is a prime.

It is not a weakly prime, because it can be changed into another prime (33013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16541 + 16542.

It is an arithmetic number, because the mean of its divisors is an integer number (16542).

233083 is an apocalyptic number.

33083 is a deficient number, since it is larger than the sum of its proper divisors (1).

33083 is an equidigital number, since it uses as much as digits as its factorization.

33083 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 33083 is about 181.8873277609. The cubic root of 33083 is about 32.1022122355.

The spelling of 33083 in words is "thirty-three thousand, eighty-three".