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33133 = 171949
BaseRepresentation
bin1000000101101101
31200110011
420011231
52030013
6413221
7165412
oct100555
950404
1033133
1122991
1217211
1312109
14c109
159c3d
hex816d

33133 has 4 divisors (see below), whose sum is σ = 35100. Its totient is φ = 31168.

The previous prime is 33119. The next prime is 33149.

It can be divided in two parts, 3 and 3133, that added together give a square (3136 = 562).

33133 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 26244 + 6889 = 162^2 + 83^2 .

It is a cyclic number.

It is not a de Polignac number, because 33133 - 29 = 32621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33113) 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 in 3 ways as a sum of consecutive naturals, for example, 958 + ... + 991.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

233133 is an apocalyptic number.

It is an amenable number.

33133 is a deficient number, since it is larger than the sum of its proper divisors (1967).

33133 is a wasteful number, since it uses less digits than its factorization.

33133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966.

The product of its digits is 81, while the sum is 13.

The square root of 33133 is about 182.0247235955. The cubic root of 33133 is about 32.1183766569.

The spelling of 33133 in words is "thirty-three thousand, one hundred thirty-three".

Divisors: 1 17 1949 33133