• Sorting the digits of 2¹⁸⁴⁹ in ascending order we obtain a prime of 506 digits.

---

1849 has 3 divisors (see below), whose sum is σ = 1893. Its totient is φ = 1806.

The previous prime is 1847. The next prime is 1861. The reversal of 1849 is 9481.

1849 = T₄₂ + T₄₃.

The square root of 1849 is 43.

It is a perfect power (a square), and thus also a powerful number.

1849 is nontrivially palindromic in base 6.

1849 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 9481 = 19 ⋅499.

It is not a de Polignac number, because 1849 - 2¹ = 1847 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1847) 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 2 ways as a sum of consecutive naturals, for example, 22 + ... + 64.

It is an arithmetic number, because the mean of its divisors is an integer number (631).

2¹⁸⁴⁹ is an apocalyptic number.

1849 is the 43-rd square number.

1849 is the 22-nd centered octagonal number.

It is an amenable number.

1849 is a deficient number, since it is larger than the sum of its proper divisors (44).

1849 is an frugal number, since it uses more digits than its factorization.

1849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 43 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The cubic root of 1849 is about 12.2737979695.

The spelling of 1849 in words is "one thousand, eight hundred forty-nine".