22753 has 4 divisors (see below), whose sum is σ = 23188. Its totient is φ = 22320.

The previous prime is 22751. The next prime is 22769. The reversal of 22753 is 35722.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5329 + 17424 = 73^2 + 132^2 .

It is a cyclic number.

It is not a de Polignac number, because 22753 - 2¹ = 22751 is a prime.

It is a d-powerful number, because it can be written as 2⁵ + 2⁹ + 7⁴ + 5³ + 3⁹ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22753.

It is not an unprimeable number, because it can be changed into a prime (22751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126 + ... + 247.

It is an arithmetic number, because the mean of its divisors is an integer number (5797).

2²²⁷⁵³ is an apocalyptic number.

It is an amenable number.

22753 is a deficient number, since it is larger than the sum of its proper divisors (435).

22753 is an equidigital number, since it uses as much as digits as its factorization.

22753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434.

The product of its digits is 420, while the sum is 19.

The square root of 22753 is about 150.8409758653. The cubic root of 22753 is about 28.3365009915.

It can be divided in two parts, 2275 and 3, that added together give a triangular number (2278 = T₆₇).

The spelling of 22753 in words is "twenty-two thousand, seven hundred fifty-three".