20005743 has 8 divisors (see below), whose sum is σ = 27111856. Its totient is φ = 13118400.

The previous prime is 20005729. The next prime is 20005763. The reversal of 20005743 is 34750002.

It is a happy number.

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

It is not a de Polignac number, because 20005743 - 2⁹ = 20005231 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20005763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54478 + ... + 54843.

It is an arithmetic number, because the mean of its divisors is an integer number (3388982).

Almost surely, 2^20005743 is an apocalyptic number.

20005743 is a deficient number, since it is larger than the sum of its proper divisors (7106113).

20005743 is a wasteful number, since it uses less digits than its factorization.

20005743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109385.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 20005743 is about 4472.7779958321. Note that the first 3 decimals coincide. The cubic root of 20005743 is about 271.4677406736.

Adding to 20005743 its reverse (34750002), we get a palindrome (54755745).

The spelling of 20005743 in words is "twenty million, five thousand, seven hundred forty-three".