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33889 is a prime number
BaseRepresentation
bin1000010001100001
31201111011
420101201
52041024
6420521
7200542
oct102141
951434
1033889
1123509
1217741
131256b
14c4c9
15a094
hex8461

33889 has 2 divisors, whose sum is σ = 33890. Its totient is φ = 33888.

The previous prime is 33871. The next prime is 33893. The reversal of 33889 is 98833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33489 + 400 = 183^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 33889 - 25 = 33857 is a prime.

It is a super-2 number, since 2×338892 = 2296928642, which contains 22 as substring.

It is a plaindrome in base 10 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 33889.

It is not a weakly prime, because it can be changed into another prime (33809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16944 + 16945.

It is an arithmetic number, because the mean of its divisors is an integer number (16945).

233889 is an apocalyptic number.

It is an amenable number.

33889 is a deficient number, since it is larger than the sum of its proper divisors (1).

33889 is an equidigital number, since it uses as much as digits as its factorization.

33889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 31.

The square root of 33889 is about 184.0896520720. The cubic root of 33889 is about 32.3608249787.

The spelling of 33889 in words is "thirty-three thousand, eight hundred eighty-nine".