53833032 has 128 divisors (see below), whose sum is σ = 165312000. Its totient is φ = 16096320.

The previous prime is 53832991. The next prime is 53833037. The reversal of 53833032 is 23033835.

It is a happy number.

53833032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 53832987 and 53833005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53833037) 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 31 ways as a sum of consecutive naturals, for example, 330183 + ... + 330345.

It is an arithmetic number, because the mean of its divisors is an integer number (1291500).

Almost surely, 2^53833032 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 53833032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82656000).

53833032 is an abundant number, since it is smaller than the sum of its proper divisors (111478968).

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

53833032 is a wasteful number, since it uses less digits than its factorization.

53833032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 53833032 is about 7337.0996994725. The cubic root of 53833032 is about 377.5863451744.

Adding to 53833032 its reverse (23033835), we get a palindrome (76866867).

The spelling of 53833032 in words is "fifty-three million, eight hundred thirty-three thousand, thirty-two".