30849 has 16 divisors (see below), whose sum is σ = 51072. Its totient is φ = 16128.

The previous prime is 30841. The next prime is 30851. The reversal of 30849 is 94803.

30849 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 30849 - 2³ = 30841 is a prime.

30849 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (30841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

2³⁰⁸⁴⁹ is an apocalyptic number.

30849 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

30849 is a deficient number, since it is larger than the sum of its proper divisors (20223).

30849 is a wasteful number, since it uses less digits than its factorization.

30849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 30849 is about 175.6388339747. The cubic root of 30849 is about 31.3627182714.

Adding to 30849 its product of nonzero digits (864), we get a palindrome (31713).

The spelling of 30849 in words is "thirty thousand, eight hundred forty-nine".