20524 has 12 divisors (see below), whose sum is σ = 41104. Its totient is φ = 8784.

The previous prime is 20521. The next prime is 20533. The reversal of 20524 is 42502.

20524 = T₄₇ + T₄₈ + ... + T₆₀.

It is a happy number.

20524 is an admirable number.

It is a plaindrome in base 11.

It is a nialpdrome in base 12.

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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 339 + ... + 394.

2²⁰⁵²⁴ is an apocalyptic number.

It is an amenable number.

20524 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20552).

20524 is a wasteful number, since it uses less digits than its factorization.

20524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 20524 is about 143.2619977524. The cubic root of 20524 is about 27.3791946062.

The spelling of 20524 in words is "twenty thousand, five hundred twenty-four".