55845 has 24 divisors (see below), whose sum is σ = 103896. Its totient is φ = 27648.

The previous prime is 55843. The next prime is 55849. The reversal of 55845 is 54855.

55845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12996 + 42849 = 114^2 + 207^2 .

It is not a de Polignac number, because 55845 - 2¹ = 55843 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (4329).

2⁵⁵⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

55845 is a deficient number, since it is larger than the sum of its proper divisors (48051).

55845 is a wasteful number, since it uses less digits than its factorization.

55845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 98 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 55845 is about 236.3154671197. The cubic root of 55845 is about 38.2232929036.

Subtracting from 55845 its reverse (54855), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 55 and 845, that added together give a square (900 = 30²).

The spelling of 55845 in words is "fifty-five thousand, eight hundred forty-five".