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42023 is a prime number
BaseRepresentation
bin1010010000100111
32010122102
422100213
52321043
6522315
7233342
oct122047
963572
1042023
1129633
122039b
1316187
1411459
15c6b8
hexa427

42023 has 2 divisors, whose sum is σ = 42024. Its totient is φ = 42022.

The previous prime is 42019. The next prime is 42043. The reversal of 42023 is 32024.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 42023 - 22 = 42019 is a prime.

It is a Sophie Germain prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 41995 and 42013.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42023.

It is not a weakly prime, because it can be changed into another prime (42013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21011 + 21012.

It is an arithmetic number, because the mean of its divisors is an integer number (21012).

242023 is an apocalyptic number.

42023 is a deficient number, since it is larger than the sum of its proper divisors (1).

42023 is an equidigital number, since it uses as much as digits as its factorization.

42023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 42023 is about 204.9951218932. The cubic root of 42023 is about 34.7666104190.

Adding to 42023 its reverse (32024), we get a palindrome (74047).

Subtracting from 42023 its reverse (32024), we obtain a palindrome (9999).

The spelling of 42023 in words is "forty-two thousand, twenty-three", and thus it is an iban number.