53084032 has 32 divisors (see below), whose sum is σ = 106273800. Its totient is φ = 26411520.

The previous prime is 53084029. The next prime is 53084039. The reversal of 53084032 is 23048035.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 53083988 and 53084006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53084039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28407 + ... + 30217.

Almost surely, 2^53084032 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 53084032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53136900).

53084032 is an abundant number, since it is smaller than the sum of its proper divisors (53189768).

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

53084032 is a wasteful number, since it uses less digits than its factorization.

53084032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 53084032 is about 7285.8789449180. The cubic root of 53084032 is about 375.8269914788.

The spelling of 53084032 in words is "fifty-three million, eighty-four thousand, thirty-two".