• A 4×4 square can be tiled in 2023 ways using the L tromino and the monomino. See here picture with all the 2023 tilings.
• 2023 = (2+0+2+3)(22+02+22+32)2.
• The prime factors of 2023, concatenated, give a palindrome: 71717.
2023 has 6 divisors (see below), whose sum is σ = 2456. Its totient is φ = 1632.
The previous prime is 2017. The next prime is 2027. The reversal of 2023 is 3202.
2023 is nontrivially palindromic in base 16.
It is not a de Polignac number, because 2023 - 29 = 1511 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (7).
It is a Duffinian number.
2023 is an undulating number in base 16.
2023 is a lucky number.
It is a plaindrome in base 11.
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 1997 and 2015.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2027) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111 + ... + 127.
2023 is a deficient number, since it is larger than the sum of its proper divisors (433).
2023 is an equidigital number, since it uses as much as digits as its factorization.
2023 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 41 (or 24 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 7.
The square root of 2023 is about 44.9777722881. The cubic root of 2023 is about 12.6473235080.
Adding to 2023 its reverse (3202), we get a palindrome (5225).
It can be divided in two parts, 202 and 3, that multiplied together give a palindrome (606).
The spelling of 2023 in words is "two thousand, twenty-three", and thus it is an iban number.
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