55366 has 16 divisors (see below), whose sum is σ = 92160. Its totient is φ = 24840.

The previous prime is 55351. The next prime is 55373. The reversal of 55366 is 66355.

55366 = T₉₀ + T₉₁ + ... + T₁₀₁.

55366 is nontrivially palindromic in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 55366.

It is a congruent number.

It is an unprimeable number.

55366 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1155 + ... + 1201.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2⁵⁵³⁶⁶ is an apocalyptic number.

55366 is a deficient number, since it is larger than the sum of its proper divisors (36794).

55366 is a wasteful number, since it uses less digits than its factorization.

55366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99.

The product of its digits is 2700, while the sum is 25.

The square root of 55366 is about 235.2998087547. The cubic root of 55366 is about 38.1136945785.

The spelling of 55366 in words is "fifty-five thousand, three hundred sixty-six".