20753 has 2 divisors, whose sum is σ = 20754. Its totient is φ = 20752.

The previous prime is 20749. The next prime is 20759. The reversal of 20753 is 35702.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16129 + 4624 = 127^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 20753 - 2² = 20749 is a prime.

It is a super-3 number, since 3×20753³ = 26814142493331, which contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20753.

It is not a weakly prime, because it can be changed into another prime (20759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10376 + 10377.

It is an arithmetic number, because the mean of its divisors is an integer number (10377).

2²⁰⁷⁵³ is an apocalyptic number.

It is an amenable number.

20753 is a deficient number, since it is larger than the sum of its proper divisors (1).

20753 is an equidigital number, since it uses as much as digits as its factorization.

20753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 20753 is about 144.0590156845. The cubic root of 20753 is about 27.4806475414.

Subtracting from 20753 its sum of digits (17), we obtain a 4-th power (20736 = 12⁴).

The spelling of 20753 in words is "twenty thousand, seven hundred fifty-three".