10849 has 4 divisors (see below), whose sum is σ = 11440. Its totient is φ = 10260.

The previous prime is 10847. The next prime is 10853. The reversal of 10849 is 94801.

10849 is nontrivially palindromic in base 3.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10849 - 2¹ = 10847 is a prime.

It is a Duffinian number.

10849 is a lucky number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10847) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 267 + ... + 304.

It is an arithmetic number, because the mean of its divisors is an integer number (2860).

2¹⁰⁸⁴⁹ is an apocalyptic number.

10849 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10849 is a deficient number, since it is larger than the sum of its proper divisors (591).

10849 is an equidigital number, since it uses as much as digits as its factorization.

10849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590.

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

The square root of 10849 is about 104.1585330158. The cubic root of 10849 is about 22.1375677371.

The spelling of 10849 in words is "ten thousand, eight hundred forty-nine".