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47581 is a prime number
BaseRepresentation
bin1011100111011101
32102021021
423213131
53010311
61004141
7255502
oct134735
972237
1047581
1132826
1223651
1318871
14134a9
15e171
hexb9dd

47581 has 2 divisors, whose sum is σ = 47582. Its totient is φ = 47580.

The previous prime is 47569. The next prime is 47591. The reversal of 47581 is 18574.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 3481 = 210^2 + 59^2 .

It is a cyclic number.

It is not a de Polignac number, because 47581 - 211 = 45533 is a prime.

It is a super-2 number, since 2×475812 = 4527903122, which contains 22 as substring.

47581 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23790 + 23791.

It is an arithmetic number, because the mean of its divisors is an integer number (23791).

247581 is an apocalyptic number.

It is an amenable number.

47581 is a deficient number, since it is larger than the sum of its proper divisors (1).

47581 is an equidigital number, since it uses as much as digits as its factorization.

47581 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1120, while the sum is 25.

The square root of 47581 is about 218.1306947681. The cubic root of 47581 is about 36.2363563399.

The spelling of 47581 in words is "forty-seven thousand, five hundred eighty-one".