55029 has 16 divisors (see below), whose sum is σ = 84672. Its totient is φ = 31488.

The previous prime is 55021. The next prime is 55049. The reversal of 55029 is 92055.

It is not a de Polignac number, because 55029 - 2³ = 55021 is a prime.

It is a Curzon number.

55029 is a lucky number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 54996 and 55014.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55029.

It is not an unprimeable number, because it can be changed into a prime (55021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁵⁵⁰²⁹ is an apocalyptic number.

It is an amenable number.

55029 is a deficient number, since it is larger than the sum of its proper divisors (29643).

55029 is a wasteful number, since it uses less digits than its factorization.

55029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 55029 is about 234.5826080510. The cubic root of 55029 is about 38.0362074103.

The spelling of 55029 in words is "fifty-five thousand, twenty-nine".