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33075 = 335272
BaseRepresentation
bin1000000100110011
31200101000
420010303
52024300
6413043
7165300
oct100463
950330
1033075
1122939
1217183
1312093
14c0a7
159c00
hex8133

33075 has 36 divisors (see below), whose sum is σ = 70680. Its totient is φ = 15120.

The previous prime is 33073. The next prime is 33083. The reversal of 33075 is 57033.

33075 = 113 + 123 + ... + 193.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 33075 - 21 = 33073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4722 + ... + 4728.

233075 is an apocalyptic number.

33075 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

33075 is an abundant number, since it is smaller than the sum of its proper divisors (37605).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35340).

33075 is a wasteful number, since it uses less digits than its factorization.

33075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 33075 is about 181.8653347947. The cubic root of 33075 is about 32.0996244170.

33075 divided by its product of nonzero digits (315) gives a triangular number (105 = T14).

The spelling of 33075 in words is "thirty-three thousand, seventy-five".