54585407 has 2 divisors, whose sum is σ = 54585408. Its totient is φ = 54585406.

The previous prime is 54585383. The next prime is 54585409. The reversal of 54585407 is 70458545.

54585407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 54585407 - 2⁸ = 54585151 is a prime.

Together with 54585409, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54585409) 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 as a sum of consecutive naturals, namely, 27292703 + 27292704.

It is an arithmetic number, because the mean of its divisors is an integer number (27292704).

Almost surely, 2^54585407 is an apocalyptic number.

54585407 is a deficient number, since it is larger than the sum of its proper divisors (1).

54585407 is an equidigital number, since it uses as much as digits as its factorization.

54585407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112000, while the sum is 38.

The square root of 54585407 is about 7388.1937576109. The cubic root of 54585407 is about 379.3372728411.

The spelling of 54585407 in words is "fifty-four million, five hundred eighty-five thousand, four hundred seven".