55626 has 16 divisors (see below), whose sum is σ = 113664. Its totient is φ = 18144.

The previous prime is 55621. The next prime is 55631. The reversal of 55626 is 62655.

55626 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55621) and next prime (55631).

It is a d-powerful number, because it can be written as 5⁶ + 5⁶ + 6³ + 2¹⁴ + 6⁵ .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55596 and 55605.

It is not an unprimeable number, because it can be changed into a prime (55621) 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, 375 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (7104).

2⁵⁵⁶²⁶ is an apocalyptic number.

55626 is an abundant number, since it is smaller than the sum of its proper divisors (58038).

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 (56832).

55626 is a wasteful number, since it uses less digits than its factorization.

55626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205.

The product of its digits is 1800, while the sum is 24.

The square root of 55626 is about 235.8516482876. The cubic root of 55626 is about 38.1732623584.

The spelling of 55626 in words is "fifty-five thousand, six hundred twenty-six".