55617 has 4 divisors (see below), whose sum is σ = 74160. Its totient is φ = 37076.

The previous prime is 55609. The next prime is 55619. The reversal of 55617 is 71655.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 55617 - 2³ = 55609 is a prime.

It is a D-number.

55617 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (55619) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 9267 + ... + 9272.

It is an arithmetic number, because the mean of its divisors is an integer number (18540).

2⁵⁵⁶¹⁷ is an apocalyptic number.

It is an amenable number.

55617 is a deficient number, since it is larger than the sum of its proper divisors (18543).

55617 is a wasteful number, since it uses less digits than its factorization.

55617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18542.

The product of its digits is 1050, while the sum is 24.

The square root of 55617 is about 235.8325677255. The cubic root of 55617 is about 38.1712035016.

The spelling of 55617 in words is "fifty-five thousand, six hundred seventeen".