53832132 has 36 divisors (see below), whose sum is σ = 144081756. Its totient is φ = 16888320.

The previous prime is 53832127. The next prime is 53832133. The reversal of 53832132 is 23123835.

53832132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 16451136 + 37380996 = 4056^2 + 6114^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×53832132³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53832096 and 53832105.

It is not an unprimeable number, because it can be changed into a prime (53832133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43369 + ... + 44592.

It is an arithmetic number, because the mean of its divisors is an integer number (4002271).

Almost surely, 2^53832132 is an apocalyptic number.

It is an amenable number.

53832132 is an abundant number, since it is smaller than the sum of its proper divisors (90249624).

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

53832132 is a wasteful number, since it uses less digits than its factorization.

53832132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87988 (or 87983 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 53832132 is about 7337.0383670797. The cubic root of 53832132 is about 377.5842409545.

Adding to 53832132 its reverse (23123835), we get a palindrome (76955967).

The spelling of 53832132 in words is "fifty-three million, eight hundred thirty-two thousand, one hundred thirty-two".