22005753 has 48 divisors (see below), whose sum is σ = 38522880. Its totient is φ = 11037600.

The previous prime is 22005749. The next prime is 22005791. The reversal of 22005753 is 35750022.

It is not a de Polignac number, because 22005753 - 2² = 22005749 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22005703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49908 + ... + 50346.

It is an arithmetic number, because the mean of its divisors is an integer number (802560).

Almost surely, 2^22005753 is an apocalyptic number.

It is an amenable number.

22005753 is a deficient number, since it is larger than the sum of its proper divisors (16517127).

22005753 is a wasteful number, since it uses less digits than its factorization.

22005753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 22005753 is about 4691.0289915966. The cubic root of 22005753 is about 280.2283553797.

Adding to 22005753 its reverse (35750022), we get a palindrome (57755775).

The spelling of 22005753 in words is "twenty-two million, five thousand, seven hundred fifty-three".