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6133 is a prime number
BaseRepresentation
bin1011111110101
322102011
41133311
5144013
644221
723611
oct13765
98364
106133
114676
123671
132a3a
142341
151c3d
hex17f5

6133 has 2 divisors, whose sum is σ = 6134. Its totient is φ = 6132.

The previous prime is 6131. The next prime is 6143. The reversal of 6133 is 3316.

6133 is nontrivially palindromic in base 4.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6084 + 49 = 78^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 6133 - 21 = 6131 is a prime.

It is a super-2 number, since 2×61332 = 75227378, which contains 22 as substring.

Together with 6131, it forms a pair of twin primes.

It is a nialpdrome in base 6.

It is a zygodrome in base 4.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3066 + 3067.

It is an arithmetic number, because the mean of its divisors is an integer number (3067).

26133 is an apocalyptic number.

It is an amenable number.

6133 is a deficient number, since it is larger than the sum of its proper divisors (1).

6133 is an equidigital number, since it uses as much as digits as its factorization.

6133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54, while the sum is 13.

The square root of 6133 is about 78.3134726596. The cubic root of 6133 is about 18.3044909201.

The spelling of 6133 in words is "six thousand, one hundred thirty-three".