55564 has 12 divisors (see below), whose sum is σ = 100800. Its totient is φ = 26768.

The previous prime is 55547. The next prime is 55579. The reversal of 55564 is 46555.

Adding to 55564 its product of digits (3000), we get a square (58564 = 242^{2}).

Subtracting from 55564 its reverse (46555), we obtain a palindrome (9009).

It is an unprimeable number.

55564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 124 + ... + 355.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2^{55564} is an apocalyptic number.

It is an amenable number.

55564 is a deficient number, since it is larger than the sum of its proper divisors (45236).

55564 is a wasteful number, since it uses less digits than its factorization.

55564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its digits is 3000, while the sum is 25.

The square root of 55564 is about 235.7201730866. The cubic root of 55564 is about 38.1590746157.

The spelling of 55564 in words is "fifty-five thousand, five hundred sixty-four".

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