52821984 has 96 divisors (see below), whose sum is σ = 148055040. Its totient is φ = 16451072.

The previous prime is 52821983. The next prime is 52822039. The reversal of 52821984 is 48912825.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52821983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103522 + ... + 104030.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 2^52821984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52821984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74027520).

52821984 is an abundant number, since it is smaller than the sum of its proper divisors (95233056).

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

52821984 is a wasteful number, since it uses less digits than its factorization.

52821984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 584 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 52821984 is about 7267.8734166192. The cubic root of 52821984 is about 375.2075508836.

The spelling of 52821984 in words is "fifty-two million, eight hundred twenty-one thousand, nine hundred eighty-four".