55806 has 16 divisors (see below), whose sum is σ = 114048. Its totient is φ = 18200.

The previous prime is 55799. The next prime is 55807. The reversal of 55806 is 60855.

It is a super-2 number, since 2×55806² = 6228619272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (7128).

2⁵⁵⁸⁰⁶ is an apocalyptic number.

55806 is an abundant number, since it is smaller than the sum of its proper divisors (58242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57024).

55806 is a wasteful number, since it uses less digits than its factorization.

55806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 55806 is about 236.2329358917. The cubic root of 55806 is about 38.2143929390.

It can be divided in two parts, 55 and 806, that added together give a triangular number (861 = T₄₁).

The spelling of 55806 in words is "fifty-five thousand, eight hundred six".