54033000 has 256 divisors, whose sum is σ = 201277440. Its totient is φ = 11808000.

The previous prime is 54032971. The next prime is 54033013. The reversal of 54033000 is 33045.

54033000 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 (15).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 650959 + ... + 651041.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^54033000 is an apocalyptic number.

54033000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100638720).

54033000 is an abundant number, since it is smaller than the sum of its proper divisors (147244440).

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

54033000 is a wasteful number, since it uses less digits than its factorization.

54033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 54033000 is about 7350.7142510099. The cubic root of 54033000 is about 378.0532944649.

Adding to 54033000 its reverse (33045), we get a palindrome (54066045).

The spelling of 54033000 in words is "fifty-four million, thirty-three thousand".