54388345 has 32 divisors (see below), whose sum is σ = 74027520. Its totient is φ = 38016000.

The previous prime is 54388333. The next prime is 54388357.

54388345 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54388333) and next prime (54388357).

It is not a de Polignac number, because 54388345 - 2¹⁵ = 54355577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54388298 and 54388307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200560 + ... + 200830.

It is an arithmetic number, because the mean of its divisors is an integer number (2313360).

Almost surely, 2^54388345 is an apocalyptic number.

54388345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54388345 is a deficient number, since it is larger than the sum of its proper divisors (19639175).

54388345 is a wasteful number, since it uses less digits than its factorization.

54388345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417.

The product of its digits is 230400, while the sum is 40.

The square root of 54388345 is about 7374.8454221089. The cubic root of 54388345 is about 378.8802331100.

It can be divided in two parts, 543 and 88345, that added together give a palindrome (88888).

The spelling of 54388345 in words is "fifty-four million, three hundred eighty-eight thousand, three hundred forty-five".