54584145 has 128 divisors (see below), whose sum is σ = 124416000. Its totient is φ = 22049280.

The previous prime is 54584143. The next prime is 54584237. The reversal of 54584145 is 54148545.

It is a happy number.

It is not a de Polignac number, because 54584145 - 2¹ = 54584143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54584143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 613261 + ... + 613349.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 2^54584145 is an apocalyptic number.

54584145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54584145 is an abundant number, since it is smaller than the sum of its proper divisors (69831855).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54584145 is a wasteful number, since it uses less digits than its factorization.

54584145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

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

The square root of 54584145 is about 7388.1083505861. The cubic root of 54584145 is about 379.3343494265.

Subtracting from 54584145 its reverse (54148545), we obtain a square (435600 = 660²).

The spelling of 54584145 in words is "fifty-four million, five hundred eighty-four thousand, one hundred forty-five".