20505727 has 8 divisors (see below), whose sum is σ = 22592592. Its totient is φ = 18456000.

The previous prime is 20505713. The next prime is 20505761. The reversal of 20505727 is 72750502.

20505727 = 94² + 95² + ... + 396².

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

It is a cyclic number.

It is not a de Polignac number, because 20505727 - 2⁷ = 20505599 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20505695 and 20505704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20505707) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8118 + ... + 10339.

It is an arithmetic number, because the mean of its divisors is an integer number (2824074).

Almost surely, 2^20505727 is an apocalyptic number.

20505727 is a deficient number, since it is larger than the sum of its proper divisors (2086865).

20505727 is a wasteful number, since it uses less digits than its factorization.

20505727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18569.

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 20505727 is about 4528.3249662541. The cubic root of 20505727 is about 273.7106674653.

It can be divided in two parts, 2050 and 5727, that added together give a palindrome (7777).

The spelling of 20505727 in words is "twenty million, five hundred five thousand, seven hundred twenty-seven".