20349 has 24 divisors (see below), whose sum is σ = 37440. Its totient is φ = 10368.

The previous prime is 20347. The next prime is 20353. The reversal of 20349 is 94302.

20349 is a nontrivial binomial coefficient, being equal to C(21, 5).

It is not a de Polignac number, because 20349 - 2¹ = 20347 is a prime.

It is a Curzon number.

20349 is a lucky number.

It is a plaindrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1062 + ... + 1080.

It is an arithmetic number, because the mean of its divisors is an integer number (1560).

2²⁰³⁴⁹ is an apocalyptic number.

It is an amenable number.

20349 is a deficient number, since it is larger than the sum of its proper divisors (17091).

20349 is a wasteful number, since it uses less digits than its factorization.

20349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20349 is about 142.6499211356. The cubic root of 20349 is about 27.3011552061.

It can be divided in two parts, 203 and 49, that added together give a palindrome (252).

The spelling of 20349 in words is "twenty thousand, three hundred forty-nine".