54033 has 16 divisors (see below), whose sum is σ = 86016. Its totient is φ = 29520.

The previous prime is 54013. The next prime is 54037. The reversal of 54033 is 33045.

It is not a de Polignac number, because 54033 - 2⁵ = 54001 is a prime.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610 + ... + 692.

It is an arithmetic number, because the mean of its divisors is an integer number (5376).

2⁵⁴⁰³³ is an apocalyptic number.

It is an amenable number.

54033 is a deficient number, since it is larger than the sum of its proper divisors (31983).

54033 is a wasteful number, since it uses less digits than its factorization.

54033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

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

The square root of 54033 is about 232.4499946225. The cubic root of 54033 is about 37.8053294465.

Adding to 54033 its reverse (33045), we get a palindrome (87078).

The spelling of 54033 in words is "fifty-four thousand, thirty-three".