54905589 has 24 divisors (see below), whose sum is σ = 81000920. Its totient is φ = 35831808.

The previous prime is 54905567. The next prime is 54905593. The reversal of 54905589 is 98550945.

54905589 is a `hidden beast` number, since 5 + 4 + 90 + 558 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29322225 + 25583364 = 5415^2 + 5058^2 .

It is not a de Polignac number, because 54905589 - 2²⁴ = 38128373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54905089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94869 + ... + 95445.

Almost surely, 2^54905589 is an apocalyptic number.

It is an amenable number.

54905589 is a deficient number, since it is larger than the sum of its proper divisors (26095331).

54905589 is a wasteful number, since it uses less digits than its factorization.

54905589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 54905589 is about 7409.8305648645. The cubic root of 54905589 is about 380.0775211188.

The spelling of 54905589 in words is "fifty-four million, nine hundred five thousand, five hundred eighty-nine".