55365 has 8 divisors (see below), whose sum is σ = 88608. Its totient is φ = 29520.

The previous prime is 55351. The next prime is 55373. The reversal of 55365 is 56355.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 55365 - 2⁵ = 55333 is a prime.

It is an Ulam number.

It is a Curzon number.

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 55365.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1831 + ... + 1860.

It is an arithmetic number, because the mean of its divisors is an integer number (11076).

2⁵⁵³⁶⁵ is an apocalyptic number.

It is an amenable number.

55365 is a deficient number, since it is larger than the sum of its proper divisors (33243).

55365 is a wasteful number, since it uses less digits than its factorization.

55365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699.

The product of its digits is 2250, while the sum is 24.

The square root of 55365 is about 235.2976837965. The cubic root of 55365 is about 38.1134651121.

Subtracting 55365 from its reverse (56355), we obtain a triangular number (990 = T₄₄).

The spelling of 55365 in words is "fifty-five thousand, three hundred sixty-five".