53984084 has 72 divisors (see below), whose sum is σ = 121883328. Its totient is φ = 20744640.

The previous prime is 53984083. The next prime is 53984087. The reversal of 53984084 is 48048935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53984081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 739472 + ... + 739544.

It is an arithmetic number, because the mean of its divisors is an integer number (1692824).

Almost surely, 2^53984084 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 53984084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60941664).

53984084 is an abundant number, since it is smaller than the sum of its proper divisors (67899244).

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

53984084 is an equidigital number, since it uses as much as digits as its factorization.

53984084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 53984084 is about 7347.3862019088. The cubic root of 53984084 is about 377.9391763131.

The spelling of 53984084 in words is "fifty-three million, nine hundred eighty-four thousand, eighty-four".