55641 has 8 divisors (see below), whose sum is σ = 78624. Its totient is φ = 34880.

The previous prime is 55639. The next prime is 55661. The reversal of 55641 is 14655.

55641 = 49² + 50² + ... + 65².

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 55641 - 2¹ = 55639 is a prime.

55641 is a lucky number.

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, 495 + ... + 596.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2⁵⁵⁶⁴¹ is an apocalyptic number.

55641 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

55641 is a deficient number, since it is larger than the sum of its proper divisors (22983).

55641 is a wasteful number, since it uses less digits than its factorization.

55641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111.

The product of its digits is 600, while the sum is 21.

The square root of 55641 is about 235.8834457947. The cubic root of 55641 is about 38.1766932928.

It can be divided in two parts, 5564 and 1, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 55641 in words is "fifty-five thousand, six hundred forty-one".