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187133 is a prime number
BaseRepresentation
bin101101101011111101
3100111200212
4231223331
521442013
64002205
71406402
oct555375
9314625
10187133
11118661
1290365
136723b
144c2a9
153a6a8
hex2dafd

187133 has 2 divisors, whose sum is σ = 187134. Its totient is φ = 187132.

The previous prime is 187129. The next prime is 187139. The reversal of 187133 is 331781.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145924 + 41209 = 382^2 + 203^2 .

It is an emirp because it is prime and its reverse (331781) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 187133 - 22 = 187129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 187099 and 187108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (187139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 93566 + 93567.

It is an arithmetic number, because the mean of its divisors is an integer number (93567).

2187133 is an apocalyptic number.

It is an amenable number.

187133 is a deficient number, since it is larger than the sum of its proper divisors (1).

187133 is an equidigital number, since it uses as much as digits as its factorization.

187133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 23.

The square root of 187133 is about 432.5887192242. The cubic root of 187133 is about 57.1983446144.

The spelling of 187133 in words is "one hundred eighty-seven thousand, one hundred thirty-three".