18849 has 8 divisors (see below), whose sum is σ = 25792. Its totient is φ = 12240.

The previous prime is 18839. The next prime is 18859. The reversal of 18849 is 94881.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18839) and next prime (18859).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 18849 - 2⁸ = 18593 is a prime.

It is a Duffinian number.

It is a Curzon number.

18849 is a lucky number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132 + ... + 234.

It is an arithmetic number, because the mean of its divisors is an integer number (3224).

2¹⁸⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

18849 is a deficient number, since it is larger than the sum of its proper divisors (6943).

18849 is a wasteful number, since it uses less digits than its factorization.

18849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167.

The product of its digits is 2304, while the sum is 30.

The square root of 18849 is about 137.2916603440. The cubic root of 18849 is about 26.6131391549.

The spelling of 18849 in words is "eighteen thousand, eight hundred forty-nine".