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1823 is a prime number
BaseRepresentation
bin11100011111
32111112
4130133
524243
612235
75213
oct3437
92445
101823
111408
12107b
13aa3
14943
15818
hex71f

1823 has 2 divisors, whose sum is σ = 1824. Its totient is φ = 1822.

The previous prime is 1811. The next prime is 1831. The reversal of 1823 is 3281.

1823 is nontrivially palindromic in base 3 and base 15.

It is a strong prime.

1823 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 1823 - 26 = 1759 is a prime.

1823 is an undulating number in base 15.

It is a plaindrome in base 6 and base 9.

It is a nialpdrome in base 13 and base 14.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1798 and 1807.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 911 + 912.

It is an arithmetic number, because the mean of its divisors is an integer number (912).

21823 is an apocalyptic number.

1823 is a deficient number, since it is larger than the sum of its proper divisors (1).

1823 is an equidigital number, since it uses as much as digits as its factorization.

1823 is an evil number, because the sum of its binary digits is even.

The product of its digits is 48, while the sum is 14.

The square root of 1823 is about 42.6966040804. The cubic root of 1823 is about 12.2159962168.

It can be divided in two parts, 18 and 23, that multiplied together give a palindrome (414).

The spelling of 1823 in words is "one thousand, eight hundred twenty-three".