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162823 is a prime number
BaseRepresentation
bin100111110000000111
322021100111
4213300013
520202243
63253451
71245463
oct476007
9267314
10162823
11101371
127a287
135915b
14434a3
153339d
hex27c07

162823 has 2 divisors, whose sum is σ = 162824. Its totient is φ = 162822.

The previous prime is 162821. The next prime is 162829. The reversal of 162823 is 328261.

162823 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 162823 - 21 = 162821 is a prime.

It is a super-2 number, since 2×1628232 = 53022658658, which contains 22 as substring.

Together with 162821, it forms a pair of twin primes.

It is equal to p14917 and since 162823 and 14917 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 162794 and 162803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (162821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 81411 + 81412.

It is an arithmetic number, because the mean of its divisors is an integer number (81412).

2162823 is an apocalyptic number.

162823 is a deficient number, since it is larger than the sum of its proper divisors (1).

162823 is an equidigital number, since it uses as much as digits as its factorization.

162823 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 22.

The square root of 162823 is about 403.5133207219. The cubic root of 162823 is about 54.6057761112.

The spelling of 162823 in words is "one hundred sixty-two thousand, eight hundred twenty-three".