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33109 = 113293
BaseRepresentation
bin1000000101010101
31200102021
420011111
52024414
6413141
7165346
oct100525
950367
1033109
112296a
12171b1
13120bb
14c0cd
159c24
hex8155

33109 has 4 divisors (see below), whose sum is σ = 33516. Its totient is φ = 32704.

The previous prime is 33107. The next prime is 33113. The reversal of 33109 is 90133.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 90133 = 173521.

It can be written as a sum of positive squares in 2 ways, for example, as 14884 + 18225 = 122^2 + 135^2 .

It is a cyclic number.

It is not a de Polignac number, because 33109 - 21 = 33107 is a prime.

It is a Duffinian number.

33109 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 33092 and 33101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34 + ... + 259.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

233109 is an apocalyptic number.

It is an amenable number.

33109 is a deficient number, since it is larger than the sum of its proper divisors (407).

33109 is a wasteful number, since it uses less digits than its factorization.

33109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 33109 is about 181.9587865424. The cubic root of 33109 is about 32.1106197656.

The spelling of 33109 in words is "thirty-three thousand, one hundred nine".

Divisors: 1 113 293 33109