20820753 has 16 divisors (see below), whose sum is σ = 31910400. Its totient is φ = 13401360.

The previous prime is 20820731. The next prime is 20820757. The reversal of 20820753 is 35702802.

It is not a de Polignac number, because 20820753 - 2⁵ = 20820721 is a prime.

It is a super-3 number, since 3×20820753³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20820757) 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 15 ways as a sum of consecutive naturals, for example, 12513 + ... + 14078.

It is an arithmetic number, because the mean of its divisors is an integer number (1994400).

Almost surely, 2^20820753 is an apocalyptic number.

It is an amenable number.

20820753 is a deficient number, since it is larger than the sum of its proper divisors (11089647).

20820753 is a wasteful number, since it uses less digits than its factorization.

20820753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26629 (or 26623 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20820753 is about 4562.9763312996. The cubic root of 20820753 is about 275.1052071286.

The spelling of 20820753 in words is "twenty million, eight hundred twenty thousand, seven hundred fifty-three".