55035 has 12 divisors (see below), whose sum is σ = 95472. Its totient is φ = 29328.

The previous prime is 55021. The next prime is 55049. The reversal of 55035 is 53055.

It is an interprime number because it is at equal distance from previous prime (55021) and next prime (55049).

It is not a de Polignac number, because 55035 - 2⁷ = 54907 is a prime.

55035 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 54999 and 55017.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55035.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (7956).

2⁵⁵⁰³⁵ is an apocalyptic number.

55035 is a deficient number, since it is larger than the sum of its proper divisors (40437).

55035 is a wasteful number, since it uses less digits than its factorization.

55035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 55035 is about 234.5953963743. The cubic root of 55035 is about 38.0375897659.

It can be divided in two parts, 550 and 35, that added together give a palindrome (585).

The spelling of 55035 in words is "fifty-five thousand, thirty-five".