20527 has 4 divisors (see below), whose sum is σ = 22120. Its totient is φ = 18936.

The previous prime is 20521. The next prime is 20533. The reversal of 20527 is 72502.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 72502 = 2 ⋅36251.

It is an interprime number because it is at equal distance from previous prime (20521) and next prime (20533).

It is a cyclic number.

It is not a de Polignac number, because 20527 - 2⁷ = 20399 is a prime.

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 20527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20521) 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, 777 + ... + 802.

It is an arithmetic number, because the mean of its divisors is an integer number (5530).

2²⁰⁵²⁷ is an apocalyptic number.

20527 is a deficient number, since it is larger than the sum of its proper divisors (1593).

20527 is a wasteful number, since it uses less digits than its factorization.

20527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592.

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 20527 is about 143.2724676970. The cubic root of 20527 is about 27.3805285499.

It can be divided in two parts, 205 and 27, that added together give a palindrome (232).

The spelling of 20527 in words is "twenty thousand, five hundred twenty-seven".