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BaseRepresentation
bin1000000101000101
31200101200
420011011
52024333
6413113
7165324
oct100505
950350
1033093
1122955
1217199
13120a8
14c0bb
159c13
hex8145

33093 has 6 divisors (see below), whose sum is σ = 47814. Its totient is φ = 22056.

The previous prime is 33091. The next prime is 33107. The reversal of 33093 is 39033.

It can be written as a sum of positive squares in only one way, i.e., 31329 + 1764 = 177^2 + 42^2 .

It is not a de Polignac number, because 33093 - 21 = 33091 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33091) 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 in 5 ways as a sum of consecutive naturals, for example, 1830 + ... + 1847.

It is an arithmetic number, because the mean of its divisors is an integer number (7969).

233093 is an apocalyptic number.

It is an amenable number.

33093 is a deficient number, since it is larger than the sum of its proper divisors (14721).

33093 is a wasteful number, since it uses less digits than its factorization.

33093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 33093 is about 181.9148152295. The cubic root of 33093 is about 32.1054464221.

The spelling of 33093 in words is "thirty-three thousand, ninety-three".

Divisors: 1 3 9 3677 11031 33093