55635 has 8 divisors (see below), whose sum is σ = 89040. Its totient is φ = 29664.

The previous prime is 55633. The next prime is 55639. The reversal of 55635 is 53655.

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

It is not a de Polignac number, because 55635 - 2¹ = 55633 is a prime.

It is a plaindrome in base 11.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55635.

It is not an unprimeable number, because it can be changed into a prime (55631) 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, 1840 + ... + 1869.

It is an arithmetic number, because the mean of its divisors is an integer number (11130).

2⁵⁵⁶³⁵ is an apocalyptic number.

55635 is a deficient number, since it is larger than the sum of its proper divisors (33405).

55635 is a wasteful number, since it uses less digits than its factorization.

55635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717.

The product of its digits is 2250, while the sum is 24.

The square root of 55635 is about 235.8707273063. The cubic root of 55635 is about 38.1753209930.

Subtracting from 55635 its sum of digits (24), we obtain a triangular number (55611 = T₃₃₃).

The spelling of 55635 in words is "fifty-five thousand, six hundred thirty-five".