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47623 is a prime number
BaseRepresentation
bin1011101000000111
32102022211
423220013
53010443
61004251
7255562
oct135007
972284
1047623
1132864
1223687
13188a4
14134d9
15e19d
hexba07

47623 has 2 divisors, whose sum is σ = 47624. Its totient is φ = 47622.

The previous prime is 47609. The next prime is 47629. The reversal of 47623 is 32674.

47623 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 47623 - 25 = 47591 is a prime.

It is equal to p4909 and since 47623 and 4909 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 47594 and 47603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23811 + 23812.

It is an arithmetic number, because the mean of its divisors is an integer number (23812).

247623 is an apocalyptic number.

47623 is a deficient number, since it is larger than the sum of its proper divisors (1).

47623 is an equidigital number, since it uses as much as digits as its factorization.

47623 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1008, while the sum is 22.

The square root of 47623 is about 218.2269460905. The cubic root of 47623 is about 36.2470152120.

The spelling of 47623 in words is "forty-seven thousand, six hundred twenty-three".