1863 has 10 divisors (see below), whose sum is σ = 2904. Its totient is φ = 1188.

The previous prime is 1861. The next prime is 1867. The reversal of 1863 is 3681.

1863 is nontrivially palindromic in base 16.

1863 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

1863 is an astonishing number since 1863 = 18 + ... + 63.

It is not a de Polignac number, because 1863 - 2¹ = 1861 is a prime.

1863 is an undulating number in base 16.

It is a plaindrome in base 11.

It is a nialpdrome in base 14 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1861) 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 in 9 ways as a sum of consecutive naturals, for example, 70 + ... + 92.

1863 is a deficient number, since it is larger than the sum of its proper divisors (1041).

1863 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (1862) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (35).

1863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 26 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1863 is about 43.1624837098. The cubic root of 1863 is about 12.3046977891.

Adding to 1863 its sum of digits (18), we get a palindrome (1881).

It can be divided in two parts, 18 and 63, that added together give a 4-th power (81 = 3⁴).

The spelling of 1863 in words is "one thousand, eight hundred sixty-three".