545584221 has 192 divisors, whose sum is σ = 1124352000. Its totient is φ = 254741760.

The previous prime is 545584217. The next prime is 545584223. The reversal of 545584221 is 122485545.

545584221 is a `hidden beast` number, since 54 + 5 + 584 + 2 + 21 = 666.

It is not a de Polignac number, because 545584221 - 2² = 545584217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545584223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17599476 + ... + 17599506.

It is an arithmetic number, because the mean of its divisors is an integer number (5856000).

Almost surely, 2^545584221 is an apocalyptic number.

It is an amenable number.

545584221 is an abundant number, since it is smaller than the sum of its proper divisors (578767779).

545584221 is a wasteful number, since it uses less digits than its factorization.

545584221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The square root of 545584221 is about 23357.7443474322. The cubic root of 545584221 is about 817.1226842226.

It can be divided in two parts, 5455 and 84221, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 545584221 in words is "five hundred forty-five million, five hundred eighty-four thousand, two hundred twenty-one".